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Finding the Fourth Proportional to 82,084, 113,322 and 62,927.52

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Solution

The fourth proportional to 82,084, 113,322 and 62,927.52 is: 86,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,084 : 113,322 = 62,927.52 : x
  2. Step 2: Convert to fraction form
    82,084/113,322 = 62,927.52/x
  3. Step 3: Cross multiply
    82,084x = 113,322 × 62,927.52
  4. Step 4: Simplify right side
    82,084x = 7,131,072,421.44
  5. Step 5: Solve for x
    x = 7,131,072,421.44/82,084
  6. Step 6: Final answer
    x = 86,875.30

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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.