Home / 106,412.68-159,642.38-31,538.60

Finding the Fourth Proportional to 106,412.68, 159,642.38 and 31,538.60

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Solution

The fourth proportional to 106,412.68, 159,642.38 and 31,538.60 is: 47,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.68 : 159,642.38 = 31,538.60 : x
  2. Step 2: Convert to fraction form
    106,412.68/159,642.38 = 31,538.60/x
  3. Step 3: Cross multiply
    106,412.68x = 159,642.38 × 31,538.60
  4. Step 4: Simplify right side
    106,412.68x = 5,034,897,165.87
  5. Step 5: Solve for x
    x = 5,034,897,165.87/106,412.68
  6. Step 6: Final answer
    x = 47,314.82

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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.