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Finding the Fourth Proportional to 42,523.84, 58,676 and 23,660.48

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Solution

The fourth proportional to 42,523.84, 58,676 and 23,660.48 is: 32,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,523.84 : 58,676 = 23,660.48 : x
  2. Step 2: Convert to fraction form
    42,523.84/58,676 = 23,660.48/x
  3. Step 3: Cross multiply
    42,523.84x = 58,676 × 23,660.48
  4. Step 4: Simplify right side
    42,523.84x = 1,388,302,324.48
  5. Step 5: Solve for x
    x = 1,388,302,324.48/42,523.84
  6. Step 6: Final answer
    x = 32,647.62

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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.