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Finding the Fourth Proportional to 48,128.57, 72,205.16 and 18,538.46

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Solution

The fourth proportional to 48,128.57, 72,205.16 and 18,538.46 is: 27,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,128.57 : 72,205.16 = 18,538.46 : x
  2. Step 2: Convert to fraction form
    48,128.57/72,205.16 = 18,538.46/x
  3. Step 3: Cross multiply
    48,128.57x = 72,205.16 × 18,538.46
  4. Step 4: Simplify right side
    48,128.57x = 1,338,572,287.50
  5. Step 5: Solve for x
    x = 1,338,572,287.50/48,128.57
  6. Step 6: Final answer
    x = 27,812.43

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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.