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Finding the Fourth Proportional to 102,493.89, 153,788.29 and 39,292.88

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Solution

The fourth proportional to 102,493.89, 153,788.29 and 39,292.88 is: 58,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,493.89 : 153,788.29 = 39,292.88 : x
  2. Step 2: Convert to fraction form
    102,493.89/153,788.29 = 39,292.88/x
  3. Step 3: Cross multiply
    102,493.89x = 153,788.29 × 39,292.88
  4. Step 4: Simplify right side
    102,493.89x = 6,042,784,538.14
  5. Step 5: Solve for x
    x = 6,042,784,538.14/102,493.89
  6. Step 6: Final answer
    x = 58,957.51

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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.