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Finding the Fourth Proportional to 42,406.48, 63,611.52 and 14,327.20

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Solution

The fourth proportional to 42,406.48, 63,611.52 and 14,327.20 is: 21,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.48 : 63,611.52 = 14,327.20 : x
  2. Step 2: Convert to fraction form
    42,406.48/63,611.52 = 14,327.20/x
  3. Step 3: Cross multiply
    42,406.48x = 63,611.52 × 14,327.20
  4. Step 4: Simplify right side
    42,406.48x = 911,374,969.34
  5. Step 5: Solve for x
    x = 911,374,969.34/42,406.48
  6. Step 6: Final answer
    x = 21,491.41

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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.