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Finding the Fourth Proportional to 32,767.20, 49,156.20 and 10,586.16

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Solution

The fourth proportional to 32,767.20, 49,156.20 and 10,586.16 is: 15,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.20 : 49,156.20 = 10,586.16 : x
  2. Step 2: Convert to fraction form
    32,767.20/49,156.20 = 10,586.16/x
  3. Step 3: Cross multiply
    32,767.20x = 49,156.20 × 10,586.16
  4. Step 4: Simplify right side
    32,767.20x = 520,375,398.19
  5. Step 5: Solve for x
    x = 520,375,398.19/32,767.20
  6. Step 6: Final answer
    x = 15,880.98

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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.