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Finding the Fourth Proportional to 32,377.68, 48,570 and 10,191.72

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Solution

The fourth proportional to 32,377.68, 48,570 and 10,191.72 is: 15,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.68 : 48,570 = 10,191.72 : x
  2. Step 2: Convert to fraction form
    32,377.68/48,570 = 10,191.72/x
  3. Step 3: Cross multiply
    32,377.68x = 48,570 × 10,191.72
  4. Step 4: Simplify right side
    32,377.68x = 495,011,840.40
  5. Step 5: Solve for x
    x = 495,011,840.40/32,377.68
  6. Step 6: Final answer
    x = 15,288.68

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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.