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Finding the Fourth Proportional to 52,011.75, 71,785.95 and 29,655.75

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Solution

The fourth proportional to 52,011.75, 71,785.95 and 29,655.75 is: 40,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.75 : 71,785.95 = 29,655.75 : x
  2. Step 2: Convert to fraction form
    52,011.75/71,785.95 = 29,655.75/x
  3. Step 3: Cross multiply
    52,011.75x = 71,785.95 × 29,655.75
  4. Step 4: Simplify right side
    52,011.75x = 2,128,866,186.71
  5. Step 5: Solve for x
    x = 2,128,866,186.71/52,011.75
  6. Step 6: Final answer
    x = 40,930.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.