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Finding the Fourth Proportional to 47,864.43, 71,640.12 and 35,210.81

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Solution

The fourth proportional to 47,864.43, 71,640.12 and 35,210.81 is: 52,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,864.43 : 71,640.12 = 35,210.81 : x
  2. Step 2: Convert to fraction form
    47,864.43/71,640.12 = 35,210.81/x
  3. Step 3: Cross multiply
    47,864.43x = 71,640.12 × 35,210.81
  4. Step 4: Simplify right side
    47,864.43x = 2,522,506,295.50
  5. Step 5: Solve for x
    x = 2,522,506,295.50/47,864.43
  6. Step 6: Final answer
    x = 52,701.06

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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.