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Finding the Fourth Proportional to 75,153.50, 112,747.53 and 25,905.50

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Solution

The fourth proportional to 75,153.50, 112,747.53 and 25,905.50 is: 38,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153.50 : 112,747.53 = 25,905.50 : x
  2. Step 2: Convert to fraction form
    75,153.50/112,747.53 = 25,905.50/x
  3. Step 3: Cross multiply
    75,153.50x = 112,747.53 × 25,905.50
  4. Step 4: Simplify right side
    75,153.50x = 2,920,781,138.42
  5. Step 5: Solve for x
    x = 2,920,781,138.42/75,153.50
  6. Step 6: Final answer
    x = 38,864.21

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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.