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Finding the Fourth Proportional to 75,156.57, 112,747.86 and 25,241.49

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Solution

The fourth proportional to 75,156.57, 112,747.86 and 25,241.49 is: 37,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,156.57 : 112,747.86 = 25,241.49 : x
  2. Step 2: Convert to fraction form
    75,156.57/112,747.86 = 25,241.49/x
  3. Step 3: Cross multiply
    75,156.57x = 112,747.86 × 25,241.49
  4. Step 4: Simplify right side
    75,156.57x = 2,845,923,980.71
  5. Step 5: Solve for x
    x = 2,845,923,980.71/75,156.57
  6. Step 6: Final answer
    x = 37,866.60

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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.