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Finding the Fourth Proportional to 144,655.48, 216,965.92 and 38,047.74

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Solution

The fourth proportional to 144,655.48, 216,965.92 and 38,047.74 is: 57,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,655.48 : 216,965.92 = 38,047.74 : x
  2. Step 2: Convert to fraction form
    144,655.48/216,965.92 = 38,047.74/x
  3. Step 3: Cross multiply
    144,655.48x = 216,965.92 × 38,047.74
  4. Step 4: Simplify right side
    144,655.48x = 8,255,062,913.02
  5. Step 5: Solve for x
    x = 8,255,062,913.02/144,655.48
  6. Step 6: Final answer
    x = 57,067.06

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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.