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Finding the Fourth Proportional to 75,543.60, 113,402.70 and 40,551.60

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Solution

The fourth proportional to 75,543.60, 113,402.70 and 40,551.60 is: 60,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,543.60 : 113,402.70 = 40,551.60 : x
  2. Step 2: Convert to fraction form
    75,543.60/113,402.70 = 40,551.60/x
  3. Step 3: Cross multiply
    75,543.60x = 113,402.70 × 40,551.60
  4. Step 4: Simplify right side
    75,543.60x = 4,598,660,929.32
  5. Step 5: Solve for x
    x = 4,598,660,929.32/75,543.60
  6. Step 6: Final answer
    x = 60,874.26

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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.