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Finding the Fourth Proportional to 82,633.22, 113,902.98 and 75,768.47

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Solution

The fourth proportional to 82,633.22, 113,902.98 and 75,768.47 is: 104,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,633.22 : 113,902.98 = 75,768.47 : x
  2. Step 2: Convert to fraction form
    82,633.22/113,902.98 = 75,768.47/x
  3. Step 3: Cross multiply
    82,633.22x = 113,902.98 × 75,768.47
  4. Step 4: Simplify right side
    82,633.22x = 8,630,254,523.04
  5. Step 5: Solve for x
    x = 8,630,254,523.04/82,633.22
  6. Step 6: Final answer
    x = 104,440.50

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1.5x scale

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.