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Finding the Fourth Proportional to 84,706.56, 127,033.92 and 32,123.52

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Solution

The fourth proportional to 84,706.56, 127,033.92 and 32,123.52 is: 48,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706.56 : 127,033.92 = 32,123.52 : x
  2. Step 2: Convert to fraction form
    84,706.56/127,033.92 = 32,123.52/x
  3. Step 3: Cross multiply
    84,706.56x = 127,033.92 × 32,123.52
  4. Step 4: Simplify right side
    84,706.56x = 4,080,776,669.80
  5. Step 5: Solve for x
    x = 4,080,776,669.80/84,706.56
  6. Step 6: Final answer
    x = 48,175.45

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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.