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Finding the Fourth Proportional to 121,506.48, 182,259.72 and 38,394

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Solution

The fourth proportional to 121,506.48, 182,259.72 and 38,394 is: 57,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506.48 : 182,259.72 = 38,394 : x
  2. Step 2: Convert to fraction form
    121,506.48/182,259.72 = 38,394/x
  3. Step 3: Cross multiply
    121,506.48x = 182,259.72 × 38,394
  4. Step 4: Simplify right side
    121,506.48x = 6,997,679,689.68
  5. Step 5: Solve for x
    x = 6,997,679,689.68/121,506.48
  6. Step 6: Final answer
    x = 57,591.00

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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.