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Finding the Fourth Proportional to 29,500.80, 40,710.88 and 16,072

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Solution

The fourth proportional to 29,500.80, 40,710.88 and 16,072 is: 22,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500.80 : 40,710.88 = 16,072 : x
  2. Step 2: Convert to fraction form
    29,500.80/40,710.88 = 16,072/x
  3. Step 3: Cross multiply
    29,500.80x = 40,710.88 × 16,072
  4. Step 4: Simplify right side
    29,500.80x = 654,305,263.36
  5. Step 5: Solve for x
    x = 654,305,263.36/29,500.80
  6. Step 6: Final answer
    x = 22,179.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.