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Finding the Fourth Proportional to 106,216.52, 159,287.65 and 31,316.78

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Solution

The fourth proportional to 106,216.52, 159,287.65 and 31,316.78 is: 46,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,216.52 : 159,287.65 = 31,316.78 : x
  2. Step 2: Convert to fraction form
    106,216.52/159,287.65 = 31,316.78/x
  3. Step 3: Cross multiply
    106,216.52x = 159,287.65 × 31,316.78
  4. Step 4: Simplify right side
    106,216.52x = 4,988,376,291.77
  5. Step 5: Solve for x
    x = 4,988,376,291.77/106,216.52
  6. Step 6: Final answer
    x = 46,964.22

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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.