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Finding the Fourth Proportional to 47,854.02, 71,781.04 and 21,528

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Solution

The fourth proportional to 47,854.02, 71,781.04 and 21,528 is: 32,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854.02 : 71,781.04 = 21,528 : x
  2. Step 2: Convert to fraction form
    47,854.02/71,781.04 = 21,528/x
  3. Step 3: Cross multiply
    47,854.02x = 71,781.04 × 21,528
  4. Step 4: Simplify right side
    47,854.02x = 1,545,302,229.12
  5. Step 5: Solve for x
    x = 1,545,302,229.12/47,854.02
  6. Step 6: Final answer
    x = 32,292.00

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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.