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Finding the Fourth Proportional to 106,277.40, 159,433.29 and 31,405.05

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Solution

The fourth proportional to 106,277.40, 159,433.29 and 31,405.05 is: 47,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,277.40 : 159,433.29 = 31,405.05 : x
  2. Step 2: Convert to fraction form
    106,277.40/159,433.29 = 31,405.05/x
  3. Step 3: Cross multiply
    106,277.40x = 159,433.29 × 31,405.05
  4. Step 4: Simplify right side
    106,277.40x = 5,007,010,444.11
  5. Step 5: Solve for x
    x = 5,007,010,444.11/106,277.40
  6. Step 6: Final answer
    x = 47,112.65

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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.