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Finding the Fourth Proportional to 42,009.98, 63,019.83 and 13,932.50

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Solution

The fourth proportional to 42,009.98, 63,019.83 and 13,932.50 is: 20,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009.98 : 63,019.83 = 13,932.50 : x
  2. Step 2: Convert to fraction form
    42,009.98/63,019.83 = 13,932.50/x
  3. Step 3: Cross multiply
    42,009.98x = 63,019.83 × 13,932.50
  4. Step 4: Simplify right side
    42,009.98x = 878,023,781.48
  5. Step 5: Solve for x
    x = 878,023,781.48/42,009.98
  6. Step 6: Final answer
    x = 20,900.36

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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.