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Finding the Fourth Proportional to 43,374.60, 65,017.54 and 24,615

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Solution

The fourth proportional to 43,374.60, 65,017.54 and 24,615 is: 36,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,374.60 : 65,017.54 = 24,615 : x
  2. Step 2: Convert to fraction form
    43,374.60/65,017.54 = 24,615/x
  3. Step 3: Cross multiply
    43,374.60x = 65,017.54 × 24,615
  4. Step 4: Simplify right side
    43,374.60x = 1,600,406,747.10
  5. Step 5: Solve for x
    x = 1,600,406,747.10/43,374.60
  6. Step 6: Final answer
    x = 36,897.33

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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.