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Finding the Fourth Proportional to 59,491.78, 82,076 and 37,982.32

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Solution

The fourth proportional to 59,491.78, 82,076 and 37,982.32 is: 52,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,491.78 : 82,076 = 37,982.32 : x
  2. Step 2: Convert to fraction form
    59,491.78/82,076 = 37,982.32/x
  3. Step 3: Cross multiply
    59,491.78x = 82,076 × 37,982.32
  4. Step 4: Simplify right side
    59,491.78x = 3,117,436,896.32
  5. Step 5: Solve for x
    x = 3,117,436,896.32/59,491.78
  6. Step 6: Final answer
    x = 52,401.14

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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.