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Finding the Fourth Proportional to 55,133,743.80, 82,700,615.70 and 47,575,471.80

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Solution

The fourth proportional to 55,133,743.80, 82,700,615.70 and 47,575,471.80 is: 71,363,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,133,743.80 : 82,700,615.70 = 47,575,471.80 : x
  2. Step 2: Convert to fraction form
    55,133,743.80/82,700,615.70 = 47,575,471.80/x
  3. Step 3: Cross multiply
    55,133,743.80x = 82,700,615.70 × 47,575,471.80
  4. Step 4: Simplify right side
    55,133,743.80x = 3,934,520,810,077,987
  5. Step 5: Solve for x
    x = 3,934,520,810,077,987/55,133,743.80
  6. Step 6: Final answer
    x = 71,363,207.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.