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Finding the Fourth Proportional to 77,084.60, 115,630.10 and 24,492.60

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Solution

The fourth proportional to 77,084.60, 115,630.10 and 24,492.60 is: 36,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.60 : 115,630.10 = 24,492.60 : x
  2. Step 2: Convert to fraction form
    77,084.60/115,630.10 = 24,492.60/x
  3. Step 3: Cross multiply
    77,084.60x = 115,630.10 × 24,492.60
  4. Step 4: Simplify right side
    77,084.60x = 2,832,081,787.26
  5. Step 5: Solve for x
    x = 2,832,081,787.26/77,084.60
  6. Step 6: Final answer
    x = 36,739.92

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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.