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Finding the Fourth Proportional to 43,334.50, 65,001.75 and 10,502.50

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Solution

The fourth proportional to 43,334.50, 65,001.75 and 10,502.50 is: 15,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,334.50 : 65,001.75 = 10,502.50 : x
  2. Step 2: Convert to fraction form
    43,334.50/65,001.75 = 10,502.50/x
  3. Step 3: Cross multiply
    43,334.50x = 65,001.75 × 10,502.50
  4. Step 4: Simplify right side
    43,334.50x = 682,680,879.38
  5. Step 5: Solve for x
    x = 682,680,879.38/43,334.50
  6. Step 6: Final answer
    x = 15,753.75

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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.