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Finding the Fourth Proportional to 32,876.89, 49,283.03 and 12,871.71

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Solution

The fourth proportional to 32,876.89, 49,283.03 and 12,871.71 is: 19,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.89 : 49,283.03 = 12,871.71 : x
  2. Step 2: Convert to fraction form
    32,876.89/49,283.03 = 12,871.71/x
  3. Step 3: Cross multiply
    32,876.89x = 49,283.03 × 12,871.71
  4. Step 4: Simplify right side
    32,876.89x = 634,356,902.26
  5. Step 5: Solve for x
    x = 634,356,902.26/32,876.89
  6. Step 6: Final answer
    x = 19,294.92

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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.