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Finding the Fourth Proportional to 106,810.68, 160,177.73 and 31,916.88

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Solution

The fourth proportional to 106,810.68, 160,177.73 and 31,916.88 is: 47,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810.68 : 160,177.73 = 31,916.88 : x
  2. Step 2: Convert to fraction form
    106,810.68/160,177.73 = 31,916.88/x
  3. Step 3: Cross multiply
    106,810.68x = 160,177.73 × 31,916.88
  4. Step 4: Simplify right side
    106,810.68x = 5,112,373,227.50
  5. Step 5: Solve for x
    x = 5,112,373,227.50/106,810.68
  6. Step 6: Final answer
    x = 47,863.88

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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.