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Finding the Fourth Proportional to 55,162.32, 76,124.52 and 32,802

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Solution

The fourth proportional to 55,162.32, 76,124.52 and 32,802 is: 45,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162.32 : 76,124.52 = 32,802 : x
  2. Step 2: Convert to fraction form
    55,162.32/76,124.52 = 32,802/x
  3. Step 3: Cross multiply
    55,162.32x = 76,124.52 × 32,802
  4. Step 4: Simplify right side
    55,162.32x = 2,497,036,505.04
  5. Step 5: Solve for x
    x = 2,497,036,505.04/55,162.32
  6. Step 6: Final answer
    x = 45,267.07

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