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Finding the Fourth Proportional to 55,729.92, 83,602.72 and 16,290

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Solution

The fourth proportional to 55,729.92, 83,602.72 and 16,290 is: 24,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,729.92 : 83,602.72 = 16,290 : x
  2. Step 2: Convert to fraction form
    55,729.92/83,602.72 = 16,290/x
  3. Step 3: Cross multiply
    55,729.92x = 83,602.72 × 16,290
  4. Step 4: Simplify right side
    55,729.92x = 1,361,888,308.80
  5. Step 5: Solve for x
    x = 1,361,888,308.80/55,729.92
  6. Step 6: Final answer
    x = 24,437.29

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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.