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Finding the Fourth Proportional to 60,993, 91,489.50 and 24,057

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Solution

The fourth proportional to 60,993, 91,489.50 and 24,057 is: 36,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,993 : 91,489.50 = 24,057 : x
  2. Step 2: Convert to fraction form
    60,993/91,489.50 = 24,057/x
  3. Step 3: Cross multiply
    60,993x = 91,489.50 × 24,057
  4. Step 4: Simplify right side
    60,993x = 2,200,962,901.50
  5. Step 5: Solve for x
    x = 2,200,962,901.50/60,993
  6. Step 6: Final answer
    x = 36,085.50

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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.