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Finding the Fourth Proportional to 32,932.64, 49,398.99 and 15,414.77

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Solution

The fourth proportional to 32,932.64, 49,398.99 and 15,414.77 is: 23,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.64 : 49,398.99 = 15,414.77 : x
  2. Step 2: Convert to fraction form
    32,932.64/49,398.99 = 15,414.77/x
  3. Step 3: Cross multiply
    32,932.64x = 49,398.99 × 15,414.77
  4. Step 4: Simplify right side
    32,932.64x = 761,473,745.01
  5. Step 5: Solve for x
    x = 761,473,745.01/32,932.64
  6. Step 6: Final answer
    x = 23,122.16

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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.