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Finding the Fourth Proportional to 106,486.80, 159,749.33 and 36,349.71

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Solution

The fourth proportional to 106,486.80, 159,749.33 and 36,349.71 is: 54,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,486.80 : 159,749.33 = 36,349.71 : x
  2. Step 2: Convert to fraction form
    106,486.80/159,749.33 = 36,349.71/x
  3. Step 3: Cross multiply
    106,486.80x = 159,749.33 × 36,349.71
  4. Step 4: Simplify right side
    106,486.80x = 5,806,841,818.19
  5. Step 5: Solve for x
    x = 5,806,841,818.19/106,486.80
  6. Step 6: Final answer
    x = 54,531.10

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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.