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Finding the Fourth Proportional to 120,805.53, 181,194.22 and 32,065.93

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Solution

The fourth proportional to 120,805.53, 181,194.22 and 32,065.93 is: 48,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.53 : 181,194.22 = 32,065.93 : x
  2. Step 2: Convert to fraction form
    120,805.53/181,194.22 = 32,065.93/x
  3. Step 3: Cross multiply
    120,805.53x = 181,194.22 × 32,065.93
  4. Step 4: Simplify right side
    120,805.53x = 5,810,160,721.94
  5. Step 5: Solve for x
    x = 5,810,160,721.94/120,805.53
  6. Step 6: Final answer
    x = 48,095.16

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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.