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Finding the Fourth Proportional to 24,744.46, 37,116.74 and 6,024.50

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Solution

The fourth proportional to 24,744.46, 37,116.74 and 6,024.50 is: 9,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.46 : 37,116.74 = 6,024.50 : x
  2. Step 2: Convert to fraction form
    24,744.46/37,116.74 = 6,024.50/x
  3. Step 3: Cross multiply
    24,744.46x = 37,116.74 × 6,024.50
  4. Step 4: Simplify right side
    24,744.46x = 223,609,800.13
  5. Step 5: Solve for x
    x = 223,609,800.13/24,744.46
  6. Step 6: Final answer
    x = 9,036.76

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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.