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Finding the Fourth Proportional to 59,620.38, 82,252.53 and 38,412

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Solution

The fourth proportional to 59,620.38, 82,252.53 and 38,412 is: 52,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,620.38 : 82,252.53 = 38,412 : x
  2. Step 2: Convert to fraction form
    59,620.38/82,252.53 = 38,412/x
  3. Step 3: Cross multiply
    59,620.38x = 82,252.53 × 38,412
  4. Step 4: Simplify right side
    59,620.38x = 3,159,484,182.36
  5. Step 5: Solve for x
    x = 3,159,484,182.36/59,620.38
  6. Step 6: Final answer
    x = 52,993.36

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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.