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Finding the Fourth Proportional to 82,871.85, 124,416.18 and 49,199.34

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Solution

The fourth proportional to 82,871.85, 124,416.18 and 49,199.34 is: 73,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.85 : 124,416.18 = 49,199.34 : x
  2. Step 2: Convert to fraction form
    82,871.85/124,416.18 = 49,199.34/x
  3. Step 3: Cross multiply
    82,871.85x = 124,416.18 × 49,199.34
  4. Step 4: Simplify right side
    82,871.85x = 6,121,193,941.32
  5. Step 5: Solve for x
    x = 6,121,193,941.32/82,871.85
  6. Step 6: Final answer
    x = 73,863.37

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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.