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Finding the Fourth Proportional to 42,816, 59,086.11 and 23,957.58

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Solution

The fourth proportional to 42,816, 59,086.11 and 23,957.58 is: 33,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,816 : 59,086.11 = 23,957.58 : x
  2. Step 2: Convert to fraction form
    42,816/59,086.11 = 23,957.58/x
  3. Step 3: Cross multiply
    42,816x = 59,086.11 × 23,957.58
  4. Step 4: Simplify right side
    42,816x = 1,415,560,207.21
  5. Step 5: Solve for x
    x = 1,415,560,207.21/42,816
  6. Step 6: Final answer
    x = 33,061.48

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1.5x scale

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.