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Finding the Fourth Proportional to 39,148.87, 54,005.23 and 24,784.38

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Solution

The fourth proportional to 39,148.87, 54,005.23 and 24,784.38 is: 34,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,148.87 : 54,005.23 = 24,784.38 : x
  2. Step 2: Convert to fraction form
    39,148.87/54,005.23 = 24,784.38/x
  3. Step 3: Cross multiply
    39,148.87x = 54,005.23 × 24,784.38
  4. Step 4: Simplify right side
    39,148.87x = 1,338,486,173.29
  5. Step 5: Solve for x
    x = 1,338,486,173.29/39,148.87
  6. Step 6: Final answer
    x = 34,189.65

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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.