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Finding the Fourth Proportional to 32,951.76, 49,429.32 and 9,580.08

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Solution

The fourth proportional to 32,951.76, 49,429.32 and 9,580.08 is: 14,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.76 : 49,429.32 = 9,580.08 : x
  2. Step 2: Convert to fraction form
    32,951.76/49,429.32 = 9,580.08/x
  3. Step 3: Cross multiply
    32,951.76x = 49,429.32 × 9,580.08
  4. Step 4: Simplify right side
    32,951.76x = 473,536,839.95
  5. Step 5: Solve for x
    x = 473,536,839.95/32,951.76
  6. Step 6: Final answer
    x = 14,370.61

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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.