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Finding the Fourth Proportional to 48,129.84, 72,195.96 and 22,823.40

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Solution

The fourth proportional to 48,129.84, 72,195.96 and 22,823.40 is: 34,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,129.84 : 72,195.96 = 22,823.40 : x
  2. Step 2: Convert to fraction form
    48,129.84/72,195.96 = 22,823.40/x
  3. Step 3: Cross multiply
    48,129.84x = 72,195.96 × 22,823.40
  4. Step 4: Simplify right side
    48,129.84x = 1,647,757,273.46
  5. Step 5: Solve for x
    x = 1,647,757,273.46/48,129.84
  6. Step 6: Final answer
    x = 34,235.67

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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.