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Finding the Fourth Proportional to 102,488.65, 153,737.09 and 32,367.98

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Solution

The fourth proportional to 102,488.65, 153,737.09 and 32,367.98 is: 48,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,488.65 : 153,737.09 = 32,367.98 : x
  2. Step 2: Convert to fraction form
    102,488.65/153,737.09 = 32,367.98/x
  3. Step 3: Cross multiply
    102,488.65x = 153,737.09 × 32,367.98
  4. Step 4: Simplify right side
    102,488.65x = 4,976,159,054.38
  5. Step 5: Solve for x
    x = 4,976,159,054.38/102,488.65
  6. Step 6: Final answer
    x = 48,553.27

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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.