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Finding the Fourth Proportional to 76,738.30, 105,884.80 and 42,745.94

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Solution

The fourth proportional to 76,738.30, 105,884.80 and 42,745.94 is: 58,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.30 : 105,884.80 = 42,745.94 : x
  2. Step 2: Convert to fraction form
    76,738.30/105,884.80 = 42,745.94/x
  3. Step 3: Cross multiply
    76,738.30x = 105,884.80 × 42,745.94
  4. Step 4: Simplify right side
    76,738.30x = 4,526,145,068.49
  5. Step 5: Solve for x
    x = 4,526,145,068.49/76,738.30
  6. Step 6: Final answer
    x = 58,981.57

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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.