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Finding the Fourth Proportional to 32,402, 44,726.28 and 22,471.76

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Solution

The fourth proportional to 32,402, 44,726.28 and 22,471.76 is: 31,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 44,726.28 = 22,471.76 : x
  2. Step 2: Convert to fraction form
    32,402/44,726.28 = 22,471.76/x
  3. Step 3: Cross multiply
    32,402x = 44,726.28 × 22,471.76
  4. Step 4: Simplify right side
    32,402x = 1,005,078,229.85
  5. Step 5: Solve for x
    x = 1,005,078,229.85/32,402
  6. Step 6: Final answer
    x = 31,019.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.