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Finding the Fourth Proportional to 78,279.38, 117,438.50 and 22,875.38

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Solution

The fourth proportional to 78,279.38, 117,438.50 and 22,875.38 is: 34,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,279.38 : 117,438.50 = 22,875.38 : x
  2. Step 2: Convert to fraction form
    78,279.38/117,438.50 = 22,875.38/x
  3. Step 3: Cross multiply
    78,279.38x = 117,438.50 × 22,875.38
  4. Step 4: Simplify right side
    78,279.38x = 2,686,450,314.13
  5. Step 5: Solve for x
    x = 2,686,450,314.13/78,279.38
  6. Step 6: Final answer
    x = 34,318.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.