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Finding the Fourth Proportional to 32,694.19, 48,971.68 and 24,708.74

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Solution

The fourth proportional to 32,694.19, 48,971.68 and 24,708.74 is: 37,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.19 : 48,971.68 = 24,708.74 : x
  2. Step 2: Convert to fraction form
    32,694.19/48,971.68 = 24,708.74/x
  3. Step 3: Cross multiply
    32,694.19x = 48,971.68 × 24,708.74
  4. Step 4: Simplify right side
    32,694.19x = 1,210,028,201.85
  5. Step 5: Solve for x
    x = 1,210,028,201.85/32,694.19
  6. Step 6: Final answer
    x = 37,010.50

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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.