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Finding the Fourth Proportional to 32,385.65, 48,580.22 and 10,200.77

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Solution

The fourth proportional to 32,385.65, 48,580.22 and 10,200.77 is: 15,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,385.65 : 48,580.22 = 10,200.77 : x
  2. Step 2: Convert to fraction form
    32,385.65/48,580.22 = 10,200.77/x
  3. Step 3: Cross multiply
    32,385.65x = 48,580.22 × 10,200.77
  4. Step 4: Simplify right side
    32,385.65x = 495,555,433.37
  5. Step 5: Solve for x
    x = 495,555,433.37/32,385.65
  6. Step 6: Final answer
    x = 15,301.70

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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.