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Finding the Fourth Proportional to 76,767.93, 115,151.90 and 29,988

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Solution

The fourth proportional to 76,767.93, 115,151.90 and 29,988 is: 44,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.93 : 115,151.90 = 29,988 : x
  2. Step 2: Convert to fraction form
    76,767.93/115,151.90 = 29,988/x
  3. Step 3: Cross multiply
    76,767.93x = 115,151.90 × 29,988
  4. Step 4: Simplify right side
    76,767.93x = 3,453,175,177.20
  5. Step 5: Solve for x
    x = 3,453,175,177.20/76,767.93
  6. Step 6: Final answer
    x = 44,982.00

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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.