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Finding the Fourth Proportional to 100,774.70, 151,109.76 and 29,688.11

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Solution

The fourth proportional to 100,774.70, 151,109.76 and 29,688.11 is: 44,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774.70 : 151,109.76 = 29,688.11 : x
  2. Step 2: Convert to fraction form
    100,774.70/151,109.76 = 29,688.11/x
  3. Step 3: Cross multiply
    100,774.70x = 151,109.76 × 29,688.11
  4. Step 4: Simplify right side
    100,774.70x = 4,486,163,176.95
  5. Step 5: Solve for x
    x = 4,486,163,176.95/100,774.70
  6. Step 6: Final answer
    x = 44,516.76

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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.