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Finding the Fourth Proportional to 32,050.40, 48,052.56 and 14,272.16

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Solution

The fourth proportional to 32,050.40, 48,052.56 and 14,272.16 is: 21,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.40 : 48,052.56 = 14,272.16 : x
  2. Step 2: Convert to fraction form
    32,050.40/48,052.56 = 14,272.16/x
  3. Step 3: Cross multiply
    32,050.40x = 48,052.56 × 14,272.16
  4. Step 4: Simplify right side
    32,050.40x = 685,813,824.73
  5. Step 5: Solve for x
    x = 685,813,824.73/32,050.40
  6. Step 6: Final answer
    x = 21,397.98

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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.