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Finding the Fourth Proportional to 55,373.28, 76,414.32 and 32,712

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Solution

The fourth proportional to 55,373.28, 76,414.32 and 32,712 is: 45,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,373.28 : 76,414.32 = 32,712 : x
  2. Step 2: Convert to fraction form
    55,373.28/76,414.32 = 32,712/x
  3. Step 3: Cross multiply
    55,373.28x = 76,414.32 × 32,712
  4. Step 4: Simplify right side
    55,373.28x = 2,499,665,235.84
  5. Step 5: Solve for x
    x = 2,499,665,235.84/55,373.28
  6. Step 6: Final answer
    x = 45,142.08

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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.