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Finding the Fourth Proportional to 78,499.38, 108,282.90 and 49,381.34

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Solution

The fourth proportional to 78,499.38, 108,282.90 and 49,381.34 is: 68,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,499.38 : 108,282.90 = 49,381.34 : x
  2. Step 2: Convert to fraction form
    78,499.38/108,282.90 = 49,381.34/x
  3. Step 3: Cross multiply
    78,499.38x = 108,282.90 × 49,381.34
  4. Step 4: Simplify right side
    78,499.38x = 5,347,154,159.67
  5. Step 5: Solve for x
    x = 5,347,154,159.67/78,499.38
  6. Step 6: Final answer
    x = 68,117.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.