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Finding the Fourth Proportional to 76,718.50, 115,079.19 and 21,315.94

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Solution

The fourth proportional to 76,718.50, 115,079.19 and 21,315.94 is: 31,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,718.50 : 115,079.19 = 21,315.94 : x
  2. Step 2: Convert to fraction form
    76,718.50/115,079.19 = 21,315.94/x
  3. Step 3: Cross multiply
    76,718.50x = 115,079.19 × 21,315.94
  4. Step 4: Simplify right side
    76,718.50x = 2,453,021,109.29
  5. Step 5: Solve for x
    x = 2,453,021,109.29/76,718.50
  6. Step 6: Final answer
    x = 31,974.31

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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.