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Finding the Fourth Proportional to 83,965, 125,820.54 and 50,648.04

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Solution

The fourth proportional to 83,965, 125,820.54 and 50,648.04 is: 75,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965 : 125,820.54 = 50,648.04 : x
  2. Step 2: Convert to fraction form
    83,965/125,820.54 = 50,648.04/x
  3. Step 3: Cross multiply
    83,965x = 125,820.54 × 50,648.04
  4. Step 4: Simplify right side
    83,965x = 6,372,563,742.74
  5. Step 5: Solve for x
    x = 6,372,563,742.74/83,965
  6. Step 6: Final answer
    x = 75,895.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.