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Finding the Fourth Proportional to 106,589.52, 159,869.70 and 31,721.22

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Solution

The fourth proportional to 106,589.52, 159,869.70 and 31,721.22 is: 47,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,589.52 : 159,869.70 = 31,721.22 : x
  2. Step 2: Convert to fraction form
    106,589.52/159,869.70 = 31,721.22/x
  3. Step 3: Cross multiply
    106,589.52x = 159,869.70 × 31,721.22
  4. Step 4: Simplify right side
    106,589.52x = 5,071,261,925.03
  5. Step 5: Solve for x
    x = 5,071,261,925.03/106,589.52
  6. Step 6: Final answer
    x = 47,577.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.