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Finding the Fourth Proportional to 55,298, 76,308.78 and 31,426.88

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Solution

The fourth proportional to 55,298, 76,308.78 and 31,426.88 is: 43,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298 : 76,308.78 = 31,426.88 : x
  2. Step 2: Convert to fraction form
    55,298/76,308.78 = 31,426.88/x
  3. Step 3: Cross multiply
    55,298x = 76,308.78 × 31,426.88
  4. Step 4: Simplify right side
    55,298x = 2,398,146,872.01
  5. Step 5: Solve for x
    x = 2,398,146,872.01/55,298
  6. Step 6: Final answer
    x = 43,367.70

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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.