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Finding the Fourth Proportional to 121,183.60, 181,777.92 and 32,437

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Solution

The fourth proportional to 121,183.60, 181,777.92 and 32,437 is: 48,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,183.60 : 181,777.92 = 32,437 : x
  2. Step 2: Convert to fraction form
    121,183.60/181,777.92 = 32,437/x
  3. Step 3: Cross multiply
    121,183.60x = 181,777.92 × 32,437
  4. Step 4: Simplify right side
    121,183.60x = 5,896,330,391.04
  5. Step 5: Solve for x
    x = 5,896,330,391.04/121,183.60
  6. Step 6: Final answer
    x = 48,656.17

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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.