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Finding the Fourth Proportional to 115,560.48, 173,347.20 and 32,448

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Solution

The fourth proportional to 115,560.48, 173,347.20 and 32,448 is: 48,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,560.48 : 173,347.20 = 32,448 : x
  2. Step 2: Convert to fraction form
    115,560.48/173,347.20 = 32,448/x
  3. Step 3: Cross multiply
    115,560.48x = 173,347.20 × 32,448
  4. Step 4: Simplify right side
    115,560.48x = 5,624,769,945.60
  5. Step 5: Solve for x
    x = 5,624,769,945.60/115,560.48
  6. Step 6: Final answer
    x = 48,673.82

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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.