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Finding the Fourth Proportional to 72,283.46, 108,440.37 and 24,902.84

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Solution

The fourth proportional to 72,283.46, 108,440.37 and 24,902.84 is: 37,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,283.46 : 108,440.37 = 24,902.84 : x
  2. Step 2: Convert to fraction form
    72,283.46/108,440.37 = 24,902.84/x
  3. Step 3: Cross multiply
    72,283.46x = 108,440.37 × 24,902.84
  4. Step 4: Simplify right side
    72,283.46x = 2,700,473,454.75
  5. Step 5: Solve for x
    x = 2,700,473,454.75/72,283.46
  6. Step 6: Final answer
    x = 37,359.50

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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.