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Finding the Fourth Proportional to 90,195.49, 135,293.19 and 31,031.65

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Solution

The fourth proportional to 90,195.49, 135,293.19 and 31,031.65 is: 46,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,195.49 : 135,293.19 = 31,031.65 : x
  2. Step 2: Convert to fraction form
    90,195.49/135,293.19 = 31,031.65/x
  3. Step 3: Cross multiply
    90,195.49x = 135,293.19 × 31,031.65
  4. Step 4: Simplify right side
    90,195.49x = 4,198,370,919.46
  5. Step 5: Solve for x
    x = 4,198,370,919.46/90,195.49
  6. Step 6: Final answer
    x = 46,547.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.