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Finding the Fourth Proportional to 59,388, 81,960.10 and 33,888.48

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Solution

The fourth proportional to 59,388, 81,960.10 and 33,888.48 is: 46,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,388 : 81,960.10 = 33,888.48 : x
  2. Step 2: Convert to fraction form
    59,388/81,960.10 = 33,888.48/x
  3. Step 3: Cross multiply
    59,388x = 81,960.10 × 33,888.48
  4. Step 4: Simplify right side
    59,388x = 2,777,503,209.65
  5. Step 5: Solve for x
    x = 2,777,503,209.65/59,388
  6. Step 6: Final answer
    x = 46,768.76

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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.