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Finding the Fourth Proportional to 54,890.64, 75,748.32 and 31,016.88

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Solution

The fourth proportional to 54,890.64, 75,748.32 and 31,016.88 is: 42,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,890.64 : 75,748.32 = 31,016.88 : x
  2. Step 2: Convert to fraction form
    54,890.64/75,748.32 = 31,016.88/x
  3. Step 3: Cross multiply
    54,890.64x = 75,748.32 × 31,016.88
  4. Step 4: Simplify right side
    54,890.64x = 2,349,476,551.64
  5. Step 5: Solve for x
    x = 2,349,476,551.64/54,890.64
  6. Step 6: Final answer
    x = 42,802.86

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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.