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Finding the Fourth Proportional to 75,637.80, 113,468.70 and 25,722.60

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Solution

The fourth proportional to 75,637.80, 113,468.70 and 25,722.60 is: 38,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,637.80 : 113,468.70 = 25,722.60 : x
  2. Step 2: Convert to fraction form
    75,637.80/113,468.70 = 25,722.60/x
  3. Step 3: Cross multiply
    75,637.80x = 113,468.70 × 25,722.60
  4. Step 4: Simplify right side
    75,637.80x = 2,918,709,982.62
  5. Step 5: Solve for x
    x = 2,918,709,982.62/75,637.80
  6. Step 6: Final answer
    x = 38,587.98

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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.