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Finding the Fourth Proportional to 32,686.32, 49,024.84 and 10,496.82

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Solution

The fourth proportional to 32,686.32, 49,024.84 and 10,496.82 is: 15,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.32 : 49,024.84 = 10,496.82 : x
  2. Step 2: Convert to fraction form
    32,686.32/49,024.84 = 10,496.82/x
  3. Step 3: Cross multiply
    32,686.32x = 49,024.84 × 10,496.82
  4. Step 4: Simplify right side
    32,686.32x = 514,604,921.01
  5. Step 5: Solve for x
    x = 514,604,921.01/32,686.32
  6. Step 6: Final answer
    x = 15,743.74

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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.