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Finding the Fourth Proportional to 55,228.52, 76,202.12 and 32,565.74

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Solution

The fourth proportional to 55,228.52, 76,202.12 and 32,565.74 is: 44,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228.52 : 76,202.12 = 32,565.74 : x
  2. Step 2: Convert to fraction form
    55,228.52/76,202.12 = 32,565.74/x
  3. Step 3: Cross multiply
    55,228.52x = 76,202.12 × 32,565.74
  4. Step 4: Simplify right side
    55,228.52x = 2,481,578,427.37
  5. Step 5: Solve for x
    x = 2,481,578,427.37/55,228.52
  6. Step 6: Final answer
    x = 44,932.92

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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.