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Finding the Fourth Proportional to 65,265.15, 97,841.19 and 38,914.56

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Solution

The fourth proportional to 65,265.15, 97,841.19 and 38,914.56 is: 58,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.15 : 97,841.19 = 38,914.56 : x
  2. Step 2: Convert to fraction form
    65,265.15/97,841.19 = 38,914.56/x
  3. Step 3: Cross multiply
    65,265.15x = 97,841.19 × 38,914.56
  4. Step 4: Simplify right side
    65,265.15x = 3,807,446,858.73
  5. Step 5: Solve for x
    x = 3,807,446,858.73/65,265.15
  6. Step 6: Final answer
    x = 58,338.13

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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.