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Finding the Fourth Proportional to 106,488.47, 159,734.07 and 35,411.11

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Solution

The fourth proportional to 106,488.47, 159,734.07 and 35,411.11 is: 53,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488.47 : 159,734.07 = 35,411.11 : x
  2. Step 2: Convert to fraction form
    106,488.47/159,734.07 = 35,411.11/x
  3. Step 3: Cross multiply
    106,488.47x = 159,734.07 × 35,411.11
  4. Step 4: Simplify right side
    106,488.47x = 5,656,360,324.18
  5. Step 5: Solve for x
    x = 5,656,360,324.18/106,488.47
  6. Step 6: Final answer
    x = 53,117.11

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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.