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Finding the Fourth Proportional to 82,903.65, 124,373.70 and 26,734.20

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Solution

The fourth proportional to 82,903.65, 124,373.70 and 26,734.20 is: 40,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.65 : 124,373.70 = 26,734.20 : x
  2. Step 2: Convert to fraction form
    82,903.65/124,373.70 = 26,734.20/x
  3. Step 3: Cross multiply
    82,903.65x = 124,373.70 × 26,734.20
  4. Step 4: Simplify right side
    82,903.65x = 3,325,031,370.54
  5. Step 5: Solve for x
    x = 3,325,031,370.54/82,903.65
  6. Step 6: Final answer
    x = 40,107.18

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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.