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Finding the Fourth Proportional to 106,497.07, 159,718.25 and 31,599.50

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Solution

The fourth proportional to 106,497.07, 159,718.25 and 31,599.50 is: 47,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.07 : 159,718.25 = 31,599.50 : x
  2. Step 2: Convert to fraction form
    106,497.07/159,718.25 = 31,599.50/x
  3. Step 3: Cross multiply
    106,497.07x = 159,718.25 × 31,599.50
  4. Step 4: Simplify right side
    106,497.07x = 5,047,016,121.28
  5. Step 5: Solve for x
    x = 5,047,016,121.28/106,497.07
  6. Step 6: Final answer
    x = 47,391.13

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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.