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Finding the Fourth Proportional to 58,098, 87,148.08 and 16,546.08

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Solution

The fourth proportional to 58,098, 87,148.08 and 16,546.08 is: 24,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,098 : 87,148.08 = 16,546.08 : x
  2. Step 2: Convert to fraction form
    58,098/87,148.08 = 16,546.08/x
  3. Step 3: Cross multiply
    58,098x = 87,148.08 × 16,546.08
  4. Step 4: Simplify right side
    58,098x = 1,441,959,103.53
  5. Step 5: Solve for x
    x = 1,441,959,103.53/58,098
  6. Step 6: Final answer
    x = 24,819.43

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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.