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Finding the Fourth Proportional to 42,099, 63,141.48 and 21,016.68

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Solution

The fourth proportional to 42,099, 63,141.48 and 21,016.68 is: 31,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099 : 63,141.48 = 21,016.68 : x
  2. Step 2: Convert to fraction form
    42,099/63,141.48 = 21,016.68/x
  3. Step 3: Cross multiply
    42,099x = 63,141.48 × 21,016.68
  4. Step 4: Simplify right side
    42,099x = 1,327,024,279.89
  5. Step 5: Solve for x
    x = 1,327,024,279.89/42,099
  6. Step 6: Final answer
    x = 31,521.52

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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.