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Finding the Fourth Proportional to 42,958.38, 64,412.46 and 16,306.14

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Solution

The fourth proportional to 42,958.38, 64,412.46 and 16,306.14 is: 24,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,958.38 : 64,412.46 = 16,306.14 : x
  2. Step 2: Convert to fraction form
    42,958.38/64,412.46 = 16,306.14/x
  3. Step 3: Cross multiply
    42,958.38x = 64,412.46 × 16,306.14
  4. Step 4: Simplify right side
    42,958.38x = 1,050,318,590.50
  5. Step 5: Solve for x
    x = 1,050,318,590.50/42,958.38
  6. Step 6: Final answer
    x = 24,449.68

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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.