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Finding the Fourth Proportional to 32,257.64, 48,392.13 and 14,729.24

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Solution

The fourth proportional to 32,257.64, 48,392.13 and 14,729.24 is: 22,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.64 : 48,392.13 = 14,729.24 : x
  2. Step 2: Convert to fraction form
    32,257.64/48,392.13 = 14,729.24/x
  3. Step 3: Cross multiply
    32,257.64x = 48,392.13 × 14,729.24
  4. Step 4: Simplify right side
    32,257.64x = 712,779,296.88
  5. Step 5: Solve for x
    x = 712,779,296.88/32,257.64
  6. Step 6: Final answer
    x = 22,096.45

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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.