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Finding the Fourth Proportional to 32,867.88, 49,252.61 and 30,407.50

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Solution

The fourth proportional to 32,867.88, 49,252.61 and 30,407.50 is: 45,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867.88 : 49,252.61 = 30,407.50 : x
  2. Step 2: Convert to fraction form
    32,867.88/49,252.61 = 30,407.50/x
  3. Step 3: Cross multiply
    32,867.88x = 49,252.61 × 30,407.50
  4. Step 4: Simplify right side
    32,867.88x = 1,497,648,705.12
  5. Step 5: Solve for x
    x = 1,497,648,705.12/32,867.88
  6. Step 6: Final answer
    x = 45,565.73

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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.