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Finding the Fourth Proportional to 106,032.68, 159,100.90 and 49,878.46

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Solution

The fourth proportional to 106,032.68, 159,100.90 and 49,878.46 is: 74,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032.68 : 159,100.90 = 49,878.46 : x
  2. Step 2: Convert to fraction form
    106,032.68/159,100.90 = 49,878.46/x
  3. Step 3: Cross multiply
    106,032.68x = 159,100.90 × 49,878.46
  4. Step 4: Simplify right side
    106,032.68x = 7,935,707,081.11
  5. Step 5: Solve for x
    x = 7,935,707,081.11/106,032.68
  6. Step 6: Final answer
    x = 74,842.09

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Why These Related Problems?

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