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Finding the Fourth Proportional to 54,994.01, 75,886.67 and 31,116.83

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Solution

The fourth proportional to 54,994.01, 75,886.67 and 31,116.83 is: 42,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,994.01 : 75,886.67 = 31,116.83 : x
  2. Step 2: Convert to fraction form
    54,994.01/75,886.67 = 31,116.83/x
  3. Step 3: Cross multiply
    54,994.01x = 75,886.67 × 31,116.83
  4. Step 4: Simplify right side
    54,994.01x = 2,361,352,308.01
  5. Step 5: Solve for x
    x = 2,361,352,308.01/54,994.01
  6. Step 6: Final answer
    x = 42,938.36

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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.