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Finding the Fourth Proportional to 76,974.68, 106,223.00 and 42,982.22

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Solution

The fourth proportional to 76,974.68, 106,223.00 and 42,982.22 is: 59,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974.68 : 106,223.00 = 42,982.22 : x
  2. Step 2: Convert to fraction form
    76,974.68/106,223.00 = 42,982.22/x
  3. Step 3: Cross multiply
    76,974.68x = 106,223.00 × 42,982.22
  4. Step 4: Simplify right side
    76,974.68x = 4,565,700,106.95
  5. Step 5: Solve for x
    x = 4,565,700,106.95/76,974.68
  6. Step 6: Final answer
    x = 59,314.31

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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.