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Finding the Fourth Proportional to 82,861.84, 124,271.88 and 23,697.84

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Solution

The fourth proportional to 82,861.84, 124,271.88 and 23,697.84 is: 35,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861.84 : 124,271.88 = 23,697.84 : x
  2. Step 2: Convert to fraction form
    82,861.84/124,271.88 = 23,697.84/x
  3. Step 3: Cross multiply
    82,861.84x = 124,271.88 × 23,697.84
  4. Step 4: Simplify right side
    82,861.84x = 2,944,975,128.74
  5. Step 5: Solve for x
    x = 2,944,975,128.74/82,861.84
  6. Step 6: Final answer
    x = 35,540.79

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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.