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Finding the Fourth Proportional to 69,074.31, 103,218.23 and 51,865

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Solution

The fourth proportional to 69,074.31, 103,218.23 and 51,865 is: 77,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074.31 : 103,218.23 = 51,865 : x
  2. Step 2: Convert to fraction form
    69,074.31/103,218.23 = 51,865/x
  3. Step 3: Cross multiply
    69,074.31x = 103,218.23 × 51,865
  4. Step 4: Simplify right side
    69,074.31x = 5,353,413,498.95
  5. Step 5: Solve for x
    x = 5,353,413,498.95/69,074.31
  6. Step 6: Final answer
    x = 77,502.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.