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Finding the Fourth Proportional to 83,113.60, 114,697.68 and 45,388.96

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Solution

The fourth proportional to 83,113.60, 114,697.68 and 45,388.96 is: 62,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,113.60 : 114,697.68 = 45,388.96 : x
  2. Step 2: Convert to fraction form
    83,113.60/114,697.68 = 45,388.96/x
  3. Step 3: Cross multiply
    83,113.60x = 114,697.68 × 45,388.96
  4. Step 4: Simplify right side
    83,113.60x = 5,206,008,409.61
  5. Step 5: Solve for x
    x = 5,206,008,409.61/83,113.60
  6. Step 6: Final answer
    x = 62,637.26

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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.