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Finding the Fourth Proportional to 61,125, 91,688.13 and 24,189

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Solution

The fourth proportional to 61,125, 91,688.13 and 24,189 is: 36,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,125 : 91,688.13 = 24,189 : x
  2. Step 2: Convert to fraction form
    61,125/91,688.13 = 24,189/x
  3. Step 3: Cross multiply
    61,125x = 91,688.13 × 24,189
  4. Step 4: Simplify right side
    61,125x = 2,217,844,176.57
  5. Step 5: Solve for x
    x = 2,217,844,176.57/61,125
  6. Step 6: Final answer
    x = 36,283.75

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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.