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Finding the Fourth Proportional to 101,895.84, 152,874.12 and 48,627.80

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Solution

The fourth proportional to 101,895.84, 152,874.12 and 48,627.80 is: 72,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,895.84 : 152,874.12 = 48,627.80 : x
  2. Step 2: Convert to fraction form
    101,895.84/152,874.12 = 48,627.80/x
  3. Step 3: Cross multiply
    101,895.84x = 152,874.12 × 48,627.80
  4. Step 4: Simplify right side
    101,895.84x = 7,433,932,132.54
  5. Step 5: Solve for x
    x = 7,433,932,132.54/101,895.84
  6. Step 6: Final answer
    x = 72,956.19

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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.