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Finding the Fourth Proportional to 82,832.40, 114,319.26 and 61,671.96

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Solution

The fourth proportional to 82,832.40, 114,319.26 and 61,671.96 is: 85,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.40 : 114,319.26 = 61,671.96 : x
  2. Step 2: Convert to fraction form
    82,832.40/114,319.26 = 61,671.96/x
  3. Step 3: Cross multiply
    82,832.40x = 114,319.26 × 61,671.96
  4. Step 4: Simplify right side
    82,832.40x = 7,050,292,829.95
  5. Step 5: Solve for x
    x = 7,050,292,829.95/82,832.40
  6. Step 6: Final answer
    x = 85,115.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.