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Finding the Fourth Proportional to 51,460.80, 77,191.20 and 31,777.80

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Solution

The fourth proportional to 51,460.80, 77,191.20 and 31,777.80 is: 47,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.80 : 77,191.20 = 31,777.80 : x
  2. Step 2: Convert to fraction form
    51,460.80/77,191.20 = 31,777.80/x
  3. Step 3: Cross multiply
    51,460.80x = 77,191.20 × 31,777.80
  4. Step 4: Simplify right side
    51,460.80x = 2,452,966,515.36
  5. Step 5: Solve for x
    x = 2,452,966,515.36/51,460.80
  6. Step 6: Final answer
    x = 47,666.70

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1.5x scale

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.