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Finding the Fourth Proportional to 98,915.76, 148,391.90 and 32,359.41

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Solution

The fourth proportional to 98,915.76, 148,391.90 and 32,359.41 is: 48,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,915.76 : 148,391.90 = 32,359.41 : x
  2. Step 2: Convert to fraction form
    98,915.76/148,391.90 = 32,359.41/x
  3. Step 3: Cross multiply
    98,915.76x = 148,391.90 × 32,359.41
  4. Step 4: Simplify right side
    98,915.76x = 4,801,874,170.98
  5. Step 5: Solve for x
    x = 4,801,874,170.98/98,915.76
  6. Step 6: Final answer
    x = 48,545.09

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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.