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Finding the Fourth Proportional to 72,574.98, 108,869.36 and 28,205.16

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Solution

The fourth proportional to 72,574.98, 108,869.36 and 28,205.16 is: 42,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,574.98 : 108,869.36 = 28,205.16 : x
  2. Step 2: Convert to fraction form
    72,574.98/108,869.36 = 28,205.16/x
  3. Step 3: Cross multiply
    72,574.98x = 108,869.36 × 28,205.16
  4. Step 4: Simplify right side
    72,574.98x = 3,070,677,576.87
  5. Step 5: Solve for x
    x = 3,070,677,576.87/72,574.98
  6. Step 6: Final answer
    x = 42,310.42

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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.