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Finding the Fourth Proportional to 121,132.80, 181,681.92 and 38,016

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Solution

The fourth proportional to 121,132.80, 181,681.92 and 38,016 is: 57,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,132.80 : 181,681.92 = 38,016 : x
  2. Step 2: Convert to fraction form
    121,132.80/181,681.92 = 38,016/x
  3. Step 3: Cross multiply
    121,132.80x = 181,681.92 × 38,016
  4. Step 4: Simplify right side
    121,132.80x = 6,906,819,870.72
  5. Step 5: Solve for x
    x = 6,906,819,870.72/121,132.80
  6. Step 6: Final answer
    x = 57,018.58

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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.