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Finding the Fourth Proportional to 55,909.80, 83,864.70 and 51,973.20

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Solution

The fourth proportional to 55,909.80, 83,864.70 and 51,973.20 is: 77,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,909.80 : 83,864.70 = 51,973.20 : x
  2. Step 2: Convert to fraction form
    55,909.80/83,864.70 = 51,973.20/x
  3. Step 3: Cross multiply
    55,909.80x = 83,864.70 × 51,973.20
  4. Step 4: Simplify right side
    55,909.80x = 4,358,716,826.04
  5. Step 5: Solve for x
    x = 4,358,716,826.04/55,909.80
  6. Step 6: Final answer
    x = 77,959.80

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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.