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Finding the Fourth Proportional to 42,014.17, 63,031.06 and 13,932.17

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Solution

The fourth proportional to 42,014.17, 63,031.06 and 13,932.17 is: 20,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014.17 : 63,031.06 = 13,932.17 : x
  2. Step 2: Convert to fraction form
    42,014.17/63,031.06 = 13,932.17/x
  3. Step 3: Cross multiply
    42,014.17x = 63,031.06 × 13,932.17
  4. Step 4: Simplify right side
    42,014.17x = 878,159,443.20
  5. Step 5: Solve for x
    x = 878,159,443.20/42,014.17
  6. Step 6: Final answer
    x = 20,901.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.