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Finding the Fourth Proportional to 32,678.60, 49,007.16 and 10,486.71

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Solution

The fourth proportional to 32,678.60, 49,007.16 and 10,486.71 is: 15,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.60 : 49,007.16 = 10,486.71 : x
  2. Step 2: Convert to fraction form
    32,678.60/49,007.16 = 10,486.71/x
  3. Step 3: Cross multiply
    32,678.60x = 49,007.16 × 10,486.71
  4. Step 4: Simplify right side
    32,678.60x = 513,923,874.84
  5. Step 5: Solve for x
    x = 513,923,874.84/32,678.60
  6. Step 6: Final answer
    x = 15,726.62

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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.