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Finding the Fourth Proportional to 38,100, 52,565.85 and 24,681.54

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Solution

The fourth proportional to 38,100, 52,565.85 and 24,681.54 is: 34,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 52,565.85 = 24,681.54 : x
  2. Step 2: Convert to fraction form
    38,100/52,565.85 = 24,681.54/x
  3. Step 3: Cross multiply
    38,100x = 52,565.85 × 24,681.54
  4. Step 4: Simplify right side
    38,100x = 1,297,406,129.41
  5. Step 5: Solve for x
    x = 1,297,406,129.41/38,100
  6. Step 6: Final answer
    x = 34,052.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.