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Finding the Fourth Proportional to 32,706.16, 49,067.44 and 12,978.20

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Solution

The fourth proportional to 32,706.16, 49,067.44 and 12,978.20 is: 19,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.16 : 49,067.44 = 12,978.20 : x
  2. Step 2: Convert to fraction form
    32,706.16/49,067.44 = 12,978.20/x
  3. Step 3: Cross multiply
    32,706.16x = 49,067.44 × 12,978.20
  4. Step 4: Simplify right side
    32,706.16x = 636,807,049.81
  5. Step 5: Solve for x
    x = 636,807,049.81/32,706.16
  6. Step 6: Final answer
    x = 19,470.55

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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.