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Finding the Fourth Proportional to 101,959.66, 152,991.96 and 45,838.72

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Solution

The fourth proportional to 101,959.66, 152,991.96 and 45,838.72 is: 68,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.66 : 152,991.96 = 45,838.72 : x
  2. Step 2: Convert to fraction form
    101,959.66/152,991.96 = 45,838.72/x
  3. Step 3: Cross multiply
    101,959.66x = 152,991.96 × 45,838.72
  4. Step 4: Simplify right side
    101,959.66x = 7,012,955,616.69
  5. Step 5: Solve for x
    x = 7,012,955,616.69/101,959.66
  6. Step 6: Final answer
    x = 68,781.67

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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.