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Finding the Fourth Proportional to 51,328.50, 70,833.33 and 27,776.50

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Solution

The fourth proportional to 51,328.50, 70,833.33 and 27,776.50 is: 38,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328.50 : 70,833.33 = 27,776.50 : x
  2. Step 2: Convert to fraction form
    51,328.50/70,833.33 = 27,776.50/x
  3. Step 3: Cross multiply
    51,328.50x = 70,833.33 × 27,776.50
  4. Step 4: Simplify right side
    51,328.50x = 1,967,501,990.75
  5. Step 5: Solve for x
    x = 1,967,501,990.75/51,328.50
  6. Step 6: Final answer
    x = 38,331.57

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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.