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Finding the Fourth Proportional to 120,783.14, 181,184.22 and 32,036.65

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Solution

The fourth proportional to 120,783.14, 181,184.22 and 32,036.65 is: 48,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.14 : 181,184.22 = 32,036.65 : x
  2. Step 2: Convert to fraction form
    120,783.14/181,184.22 = 32,036.65/x
  3. Step 3: Cross multiply
    120,783.14x = 181,184.22 × 32,036.65
  4. Step 4: Simplify right side
    120,783.14x = 5,804,535,548.01
  5. Step 5: Solve for x
    x = 5,804,535,548.01/120,783.14
  6. Step 6: Final answer
    x = 48,057.50

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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.