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Finding the Fourth Proportional to 101,705.76, 152,524.08 and 51,766.56

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Solution

The fourth proportional to 101,705.76, 152,524.08 and 51,766.56 is: 77,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705.76 : 152,524.08 = 51,766.56 : x
  2. Step 2: Convert to fraction form
    101,705.76/152,524.08 = 51,766.56/x
  3. Step 3: Cross multiply
    101,705.76x = 152,524.08 × 51,766.56
  4. Step 4: Simplify right side
    101,705.76x = 7,895,646,938.76
  5. Step 5: Solve for x
    x = 7,895,646,938.76/101,705.76
  6. Step 6: Final answer
    x = 77,632.25

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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.