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Finding the Fourth Proportional to 101,695.14, 152,481.12 and 45,524.76

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Solution

The fourth proportional to 101,695.14, 152,481.12 and 45,524.76 is: 68,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.14 : 152,481.12 = 45,524.76 : x
  2. Step 2: Convert to fraction form
    101,695.14/152,481.12 = 45,524.76/x
  3. Step 3: Cross multiply
    101,695.14x = 152,481.12 × 45,524.76
  4. Step 4: Simplify right side
    101,695.14x = 6,941,666,392.53
  5. Step 5: Solve for x
    x = 6,941,666,392.53/101,695.14
  6. Step 6: Final answer
    x = 68,259.57

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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.