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Finding the Fourth Proportional to 32,678.44, 49,025.86 and 9,304.88

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Solution

The fourth proportional to 32,678.44, 49,025.86 and 9,304.88 is: 13,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.44 : 49,025.86 = 9,304.88 : x
  2. Step 2: Convert to fraction form
    32,678.44/49,025.86 = 9,304.88/x
  3. Step 3: Cross multiply
    32,678.44x = 49,025.86 × 9,304.88
  4. Step 4: Simplify right side
    32,678.44x = 456,179,475.81
  5. Step 5: Solve for x
    x = 456,179,475.81/32,678.44
  6. Step 6: Final answer
    x = 13,959.65

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1.5x scale

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.