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Finding the Fourth Proportional to 75,468.96, 113,223.85 and 25,549.06

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Solution

The fourth proportional to 75,468.96, 113,223.85 and 25,549.06 is: 38,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468.96 : 113,223.85 = 25,549.06 : x
  2. Step 2: Convert to fraction form
    75,468.96/113,223.85 = 25,549.06/x
  3. Step 3: Cross multiply
    75,468.96x = 113,223.85 × 25,549.06
  4. Step 4: Simplify right side
    75,468.96x = 2,892,762,555.86
  5. Step 5: Solve for x
    x = 2,892,762,555.86/75,468.96
  6. Step 6: Final answer
    x = 38,330.50

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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.