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Finding the Fourth Proportional to 83,102.60, 124,697.10 and 36,360.20

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Solution

The fourth proportional to 83,102.60, 124,697.10 and 36,360.20 is: 54,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.60 : 124,697.10 = 36,360.20 : x
  2. Step 2: Convert to fraction form
    83,102.60/124,697.10 = 36,360.20/x
  3. Step 3: Cross multiply
    83,102.60x = 124,697.10 × 36,360.20
  4. Step 4: Simplify right side
    83,102.60x = 4,534,011,495.42
  5. Step 5: Solve for x
    x = 4,534,011,495.42/83,102.60
  6. Step 6: Final answer
    x = 54,559.20

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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.