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Finding the Fourth Proportional to 74,203.08, 111,317.58 and 32,649

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Solution

The fourth proportional to 74,203.08, 111,317.58 and 32,649 is: 48,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203.08 : 111,317.58 = 32,649 : x
  2. Step 2: Convert to fraction form
    74,203.08/111,317.58 = 32,649/x
  3. Step 3: Cross multiply
    74,203.08x = 111,317.58 × 32,649
  4. Step 4: Simplify right side
    74,203.08x = 3,634,407,669.42
  5. Step 5: Solve for x
    x = 3,634,407,669.42/74,203.08
  6. Step 6: Final answer
    x = 48,979.20

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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.