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Finding the Fourth Proportional to 110,182.32, 165,207.78 and 43,632

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Solution

The fourth proportional to 110,182.32, 165,207.78 and 43,632 is: 65,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,182.32 : 165,207.78 = 43,632 : x
  2. Step 2: Convert to fraction form
    110,182.32/165,207.78 = 43,632/x
  3. Step 3: Cross multiply
    110,182.32x = 165,207.78 × 43,632
  4. Step 4: Simplify right side
    110,182.32x = 7,208,345,856.96
  5. Step 5: Solve for x
    x = 7,208,345,856.96/110,182.32
  6. Step 6: Final answer
    x = 65,421.98

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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.