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Finding the Fourth Proportional to 39,770.38, 54,838.03 and 25,411.24

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Solution

The fourth proportional to 39,770.38, 54,838.03 and 25,411.24 is: 35,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770.38 : 54,838.03 = 25,411.24 : x
  2. Step 2: Convert to fraction form
    39,770.38/54,838.03 = 25,411.24/x
  3. Step 3: Cross multiply
    39,770.38x = 54,838.03 × 25,411.24
  4. Step 4: Simplify right side
    39,770.38x = 1,393,502,003.74
  5. Step 5: Solve for x
    x = 1,393,502,003.74/39,770.38
  6. Step 6: Final answer
    x = 35,038.69

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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.