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Finding the Fourth Proportional to 32,689.87, 49,034.80 and 22,848.37

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Solution

The fourth proportional to 32,689.87, 49,034.80 and 22,848.37 is: 34,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.87 : 49,034.80 = 22,848.37 : x
  2. Step 2: Convert to fraction form
    32,689.87/49,034.80 = 22,848.37/x
  3. Step 3: Cross multiply
    32,689.87x = 49,034.80 × 22,848.37
  4. Step 4: Simplify right side
    32,689.87x = 1,120,365,008.10
  5. Step 5: Solve for x
    x = 1,120,365,008.10/32,689.87
  6. Step 6: Final answer
    x = 34,272.55

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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.