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Finding the Fourth Proportional to 54,017.40, 74,514.06 and 31,657.08

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Solution

The fourth proportional to 54,017.40, 74,514.06 and 31,657.08 is: 43,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,017.40 : 74,514.06 = 31,657.08 : x
  2. Step 2: Convert to fraction form
    54,017.40/74,514.06 = 31,657.08/x
  3. Step 3: Cross multiply
    54,017.40x = 74,514.06 × 31,657.08
  4. Step 4: Simplify right side
    54,017.40x = 2,358,897,558.54
  5. Step 5: Solve for x
    x = 2,358,897,558.54/54,017.40
  6. Step 6: Final answer
    x = 43,669.22

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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.