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Finding the Fourth Proportional to 53,585.84, 73,948.46 and 29,711.99

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Solution

The fourth proportional to 53,585.84, 73,948.46 and 29,711.99 is: 41,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,585.84 : 73,948.46 = 29,711.99 : x
  2. Step 2: Convert to fraction form
    53,585.84/73,948.46 = 29,711.99/x
  3. Step 3: Cross multiply
    53,585.84x = 73,948.46 × 29,711.99
  4. Step 4: Simplify right side
    53,585.84x = 2,197,155,385.73
  5. Step 5: Solve for x
    x = 2,197,155,385.73/53,585.84
  6. Step 6: Final answer
    x = 41,002.54

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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.