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Finding the Fourth Proportional to 107,590.50, 161,411.67 and 33,718.50

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Solution

The fourth proportional to 107,590.50, 161,411.67 and 33,718.50 is: 50,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,590.50 : 161,411.67 = 33,718.50 : x
  2. Step 2: Convert to fraction form
    107,590.50/161,411.67 = 33,718.50/x
  3. Step 3: Cross multiply
    107,590.50x = 161,411.67 × 33,718.50
  4. Step 4: Simplify right side
    107,590.50x = 5,442,559,394.90
  5. Step 5: Solve for x
    x = 5,442,559,394.90/107,590.50
  6. Step 6: Final answer
    x = 50,585.87

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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.