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Finding the Fourth Proportional to 51,765.75, 77,747.04 and 32,181.16

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Solution

The fourth proportional to 51,765.75, 77,747.04 and 32,181.16 is: 48,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765.75 : 77,747.04 = 32,181.16 : x
  2. Step 2: Convert to fraction form
    51,765.75/77,747.04 = 32,181.16/x
  3. Step 3: Cross multiply
    51,765.75x = 77,747.04 × 32,181.16
  4. Step 4: Simplify right side
    51,765.75x = 2,501,989,933.77
  5. Step 5: Solve for x
    x = 2,501,989,933.77/51,765.75
  6. Step 6: Final answer
    x = 48,332.92

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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.