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Finding the Fourth Proportional to 39,497.78, 59,246.72 and 15,816

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Solution

The fourth proportional to 39,497.78, 59,246.72 and 15,816 is: 23,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,497.78 : 59,246.72 = 15,816 : x
  2. Step 2: Convert to fraction form
    39,497.78/59,246.72 = 15,816/x
  3. Step 3: Cross multiply
    39,497.78x = 59,246.72 × 15,816
  4. Step 4: Simplify right side
    39,497.78x = 937,046,123.52
  5. Step 5: Solve for x
    x = 937,046,123.52/39,497.78
  6. Step 6: Final answer
    x = 23,724.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.