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Finding the Fourth Proportional to 42,412.88, 63,611.12 and 12,823.79

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Solution

The fourth proportional to 42,412.88, 63,611.12 and 12,823.79 is: 19,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412.88 : 63,611.12 = 12,823.79 : x
  2. Step 2: Convert to fraction form
    42,412.88/63,611.12 = 12,823.79/x
  3. Step 3: Cross multiply
    42,412.88x = 63,611.12 × 12,823.79
  4. Step 4: Simplify right side
    42,412.88x = 815,735,358.55
  5. Step 5: Solve for x
    x = 815,735,358.55/42,412.88
  6. Step 6: Final answer
    x = 19,233.20

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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.