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Finding the Fourth Proportional to 43,082.60, 64,624.01 and 13,097.11

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Solution

The fourth proportional to 43,082.60, 64,624.01 and 13,097.11 is: 19,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082.60 : 64,624.01 = 13,097.11 : x
  2. Step 2: Convert to fraction form
    43,082.60/64,624.01 = 13,097.11/x
  3. Step 3: Cross multiply
    43,082.60x = 64,624.01 × 13,097.11
  4. Step 4: Simplify right side
    43,082.60x = 846,387,767.61
  5. Step 5: Solve for x
    x = 846,387,767.61/43,082.60
  6. Step 6: Final answer
    x = 19,645.70

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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.