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Finding the Fourth Proportional to 76,593.64, 114,773.10 and 51,541

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Solution

The fourth proportional to 76,593.64, 114,773.10 and 51,541 is: 77,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,593.64 : 114,773.10 = 51,541 : x
  2. Step 2: Convert to fraction form
    76,593.64/114,773.10 = 51,541/x
  3. Step 3: Cross multiply
    76,593.64x = 114,773.10 × 51,541
  4. Step 4: Simplify right side
    76,593.64x = 5,915,520,347.10
  5. Step 5: Solve for x
    x = 5,915,520,347.10/76,593.64
  6. Step 6: Final answer
    x = 77,232.53

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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.