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Finding the Fourth Proportional to 49,658.96, 74,488.92 and 14,599.20

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Solution

The fourth proportional to 49,658.96, 74,488.92 and 14,599.20 is: 21,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.96 : 74,488.92 = 14,599.20 : x
  2. Step 2: Convert to fraction form
    49,658.96/74,488.92 = 14,599.20/x
  3. Step 3: Cross multiply
    49,658.96x = 74,488.92 × 14,599.20
  4. Step 4: Simplify right side
    49,658.96x = 1,087,478,640.86
  5. Step 5: Solve for x
    x = 1,087,478,640.86/49,658.96
  6. Step 6: Final answer
    x = 21,898.94

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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.