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Finding the Fourth Proportional to 32,071.49, 47,872.36 and 28,283.96

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Solution

The fourth proportional to 32,071.49, 47,872.36 and 28,283.96 is: 42,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.49 : 47,872.36 = 28,283.96 : x
  2. Step 2: Convert to fraction form
    32,071.49/47,872.36 = 28,283.96/x
  3. Step 3: Cross multiply
    32,071.49x = 47,872.36 × 28,283.96
  4. Step 4: Simplify right side
    32,071.49x = 1,354,019,915.35
  5. Step 5: Solve for x
    x = 1,354,019,915.35/32,071.49
  6. Step 6: Final answer
    x = 42,218.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.