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Finding the Fourth Proportional to 76,738.80, 105,885.49 and 42,746.44

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Solution

The fourth proportional to 76,738.80, 105,885.49 and 42,746.44 is: 58,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.80 : 105,885.49 = 42,746.44 : x
  2. Step 2: Convert to fraction form
    76,738.80/105,885.49 = 42,746.44/x
  3. Step 3: Cross multiply
    76,738.80x = 105,885.49 × 42,746.44
  4. Step 4: Simplify right side
    76,738.80x = 4,526,227,531.42
  5. Step 5: Solve for x
    x = 4,526,227,531.42/76,738.80
  6. Step 6: Final answer
    x = 58,982.26

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