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Finding the Fourth Proportional to 76,670.56, 115,005.90 and 24,081.40

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Solution

The fourth proportional to 76,670.56, 115,005.90 and 24,081.40 is: 36,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670.56 : 115,005.90 = 24,081.40 : x
  2. Step 2: Convert to fraction form
    76,670.56/115,005.90 = 24,081.40/x
  3. Step 3: Cross multiply
    76,670.56x = 115,005.90 × 24,081.40
  4. Step 4: Simplify right side
    76,670.56x = 2,769,503,080.26
  5. Step 5: Solve for x
    x = 2,769,503,080.26/76,670.56
  6. Step 6: Final answer
    x = 36,122.12

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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.