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Finding the Fourth Proportional to 37,323.99, 51,510.74 and 27,876.15

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Solution

The fourth proportional to 37,323.99, 51,510.74 and 27,876.15 is: 38,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,323.99 : 51,510.74 = 27,876.15 : x
  2. Step 2: Convert to fraction form
    37,323.99/51,510.74 = 27,876.15/x
  3. Step 3: Cross multiply
    37,323.99x = 51,510.74 × 27,876.15
  4. Step 4: Simplify right side
    37,323.99x = 1,435,920,975.47
  5. Step 5: Solve for x
    x = 1,435,920,975.47/37,323.99
  6. Step 6: Final answer
    x = 38,471.80

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Why These Related Problems?

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