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Finding the Fourth Proportional to 43,073.76, 64,602 and 11,912.16

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Solution

The fourth proportional to 43,073.76, 64,602 and 11,912.16 is: 17,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,073.76 : 64,602 = 11,912.16 : x
  2. Step 2: Convert to fraction form
    43,073.76/64,602 = 11,912.16/x
  3. Step 3: Cross multiply
    43,073.76x = 64,602 × 11,912.16
  4. Step 4: Simplify right side
    43,073.76x = 769,549,360.32
  5. Step 5: Solve for x
    x = 769,549,360.32/43,073.76
  6. Step 6: Final answer
    x = 17,865.85

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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.