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Finding the Fourth Proportional to 102,442.46, 153,658.16 and 39,292.84

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Solution

The fourth proportional to 102,442.46, 153,658.16 and 39,292.84 is: 58,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.46 : 153,658.16 = 39,292.84 : x
  2. Step 2: Convert to fraction form
    102,442.46/153,658.16 = 39,292.84/x
  3. Step 3: Cross multiply
    102,442.46x = 153,658.16 × 39,292.84
  4. Step 4: Simplify right side
    102,442.46x = 6,037,664,530.82
  5. Step 5: Solve for x
    x = 6,037,664,530.82/102,442.46
  6. Step 6: Final answer
    x = 58,937.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.