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Finding the Fourth Proportional to 32,438.91, 48,641.76 and 14,893.50

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Solution

The fourth proportional to 32,438.91, 48,641.76 and 14,893.50 is: 22,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.91 : 48,641.76 = 14,893.50 : x
  2. Step 2: Convert to fraction form
    32,438.91/48,641.76 = 14,893.50/x
  3. Step 3: Cross multiply
    32,438.91x = 48,641.76 × 14,893.50
  4. Step 4: Simplify right side
    32,438.91x = 724,446,052.56
  5. Step 5: Solve for x
    x = 724,446,052.56/32,438.91
  6. Step 6: Final answer
    x = 22,332.63

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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.