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Finding the Fourth Proportional to 55,705.38, 76,873.82 and 30,554.88

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Solution

The fourth proportional to 55,705.38, 76,873.82 and 30,554.88 is: 42,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,705.38 : 76,873.82 = 30,554.88 : x
  2. Step 2: Convert to fraction form
    55,705.38/76,873.82 = 30,554.88/x
  3. Step 3: Cross multiply
    55,705.38x = 76,873.82 × 30,554.88
  4. Step 4: Simplify right side
    55,705.38x = 2,348,870,345.24
  5. Step 5: Solve for x
    x = 2,348,870,345.24/55,705.38
  6. Step 6: Final answer
    x = 42,165.95

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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.