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Finding the Fourth Proportional to 32,832, 49,264.92 and 18,052.56

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Solution

The fourth proportional to 32,832, 49,264.92 and 18,052.56 is: 27,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 49,264.92 = 18,052.56 : x
  2. Step 2: Convert to fraction form
    32,832/49,264.92 = 18,052.56/x
  3. Step 3: Cross multiply
    32,832x = 49,264.92 × 18,052.56
  4. Step 4: Simplify right side
    32,832x = 889,357,924.20
  5. Step 5: Solve for x
    x = 889,357,924.20/32,832
  6. Step 6: Final answer
    x = 27,088.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.