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Finding the Fourth Proportional to 82,695.87, 124,084.80 and 32,774.85

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Solution

The fourth proportional to 82,695.87, 124,084.80 and 32,774.85 is: 49,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,695.87 : 124,084.80 = 32,774.85 : x
  2. Step 2: Convert to fraction form
    82,695.87/124,084.80 = 32,774.85/x
  3. Step 3: Cross multiply
    82,695.87x = 124,084.80 × 32,774.85
  4. Step 4: Simplify right side
    82,695.87x = 4,066,860,707.28
  5. Step 5: Solve for x
    x = 4,066,860,707.28/82,695.87
  6. Step 6: Final answer
    x = 49,178.52

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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.