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Finding the Fourth Proportional to 38,701.14, 58,053.02 and 13,743.14

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Solution

The fourth proportional to 38,701.14, 58,053.02 and 13,743.14 is: 20,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.14 : 58,053.02 = 13,743.14 : x
  2. Step 2: Convert to fraction form
    38,701.14/58,053.02 = 13,743.14/x
  3. Step 3: Cross multiply
    38,701.14x = 58,053.02 × 13,743.14
  4. Step 4: Simplify right side
    38,701.14x = 797,830,422.30
  5. Step 5: Solve for x
    x = 797,830,422.30/38,701.14
  6. Step 6: Final answer
    x = 20,615.17

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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.