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Finding the Fourth Proportional to 115,874.60, 173,815.14 and 40,984.16

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Solution

The fourth proportional to 115,874.60, 173,815.14 and 40,984.16 is: 61,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,874.60 : 173,815.14 = 40,984.16 : x
  2. Step 2: Convert to fraction form
    115,874.60/173,815.14 = 40,984.16/x
  3. Step 3: Cross multiply
    115,874.60x = 173,815.14 × 40,984.16
  4. Step 4: Simplify right side
    115,874.60x = 7,123,667,508.18
  5. Step 5: Solve for x
    x = 7,123,667,508.18/115,874.60
  6. Step 6: Final answer
    x = 61,477.39

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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.