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Finding the Fourth Proportional to 120,805.09, 181,193.56 and 32,065.49

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Solution

The fourth proportional to 120,805.09, 181,193.56 and 32,065.49 is: 48,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.09 : 181,193.56 = 32,065.49 : x
  2. Step 2: Convert to fraction form
    120,805.09/181,193.56 = 32,065.49/x
  3. Step 3: Cross multiply
    120,805.09x = 181,193.56 × 32,065.49
  4. Step 4: Simplify right side
    120,805.09x = 5,810,060,779.31
  5. Step 5: Solve for x
    x = 5,810,060,779.31/120,805.09
  6. Step 6: Final answer
    x = 48,094.50

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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.