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Finding the Fourth Proportional to 59,616, 82,270.08 and 34,467.12

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Solution

The fourth proportional to 59,616, 82,270.08 and 34,467.12 is: 47,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,616 : 82,270.08 = 34,467.12 : x
  2. Step 2: Convert to fraction form
    59,616/82,270.08 = 34,467.12/x
  3. Step 3: Cross multiply
    59,616x = 82,270.08 × 34,467.12
  4. Step 4: Simplify right side
    59,616x = 2,835,612,719.77
  5. Step 5: Solve for x
    x = 2,835,612,719.77/59,616
  6. Step 6: Final answer
    x = 47,564.63

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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.