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Finding the Fourth Proportional to 121,560.48, 182,347.20 and 38,448

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Solution

The fourth proportional to 121,560.48, 182,347.20 and 38,448 is: 57,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,560.48 : 182,347.20 = 38,448 : x
  2. Step 2: Convert to fraction form
    121,560.48/182,347.20 = 38,448/x
  3. Step 3: Cross multiply
    121,560.48x = 182,347.20 × 38,448
  4. Step 4: Simplify right side
    121,560.48x = 7,010,885,145.60
  5. Step 5: Solve for x
    x = 7,010,885,145.60/121,560.48
  6. Step 6: Final answer
    x = 57,674.05

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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.