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Finding the Fourth Proportional to 32,876.36, 49,314.90 and 9,503

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Solution

The fourth proportional to 32,876.36, 49,314.90 and 9,503 is: 14,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.36 : 49,314.90 = 9,503 : x
  2. Step 2: Convert to fraction form
    32,876.36/49,314.90 = 9,503/x
  3. Step 3: Cross multiply
    32,876.36x = 49,314.90 × 9,503
  4. Step 4: Simplify right side
    32,876.36x = 468,639,494.70
  5. Step 5: Solve for x
    x = 468,639,494.70/32,876.36
  6. Step 6: Final answer
    x = 14,254.60

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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.