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Finding the Fourth Proportional to 106,562.40, 159,828.48 and 36,431.52

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Solution

The fourth proportional to 106,562.40, 159,828.48 and 36,431.52 is: 54,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.40 : 159,828.48 = 36,431.52 : x
  2. Step 2: Convert to fraction form
    106,562.40/159,828.48 = 36,431.52/x
  3. Step 3: Cross multiply
    106,562.40x = 159,828.48 × 36,431.52
  4. Step 4: Simplify right side
    106,562.40x = 5,822,794,465.69
  5. Step 5: Solve for x
    x = 5,822,794,465.69/106,562.40
  6. Step 6: Final answer
    x = 54,642.11

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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.