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Finding the Fourth Proportional to 123,419.92, 185,005.24 and 48,592.58

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Solution

The fourth proportional to 123,419.92, 185,005.24 and 48,592.58 is: 72,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.92 : 185,005.24 = 48,592.58 : x
  2. Step 2: Convert to fraction form
    123,419.92/185,005.24 = 48,592.58/x
  3. Step 3: Cross multiply
    123,419.92x = 185,005.24 × 48,592.58
  4. Step 4: Simplify right side
    123,419.92x = 8,989,881,925.12
  5. Step 5: Solve for x
    x = 8,989,881,925.12/123,419.92
  6. Step 6: Final answer
    x = 72,839.80

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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.