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Finding the Fourth Proportional to 71,532.94, 107,318.54 and 24,785.81

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Solution

The fourth proportional to 71,532.94, 107,318.54 and 24,785.81 is: 37,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532.94 : 107,318.54 = 24,785.81 : x
  2. Step 2: Convert to fraction form
    71,532.94/107,318.54 = 24,785.81/x
  3. Step 3: Cross multiply
    71,532.94x = 107,318.54 × 24,785.81
  4. Step 4: Simplify right side
    71,532.94x = 2,659,977,272.18
  5. Step 5: Solve for x
    x = 2,659,977,272.18/71,532.94
  6. Step 6: Final answer
    x = 37,185.35

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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.