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Finding the Fourth Proportional to 82,362, 113,671.76 and 52,150.13

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Solution

The fourth proportional to 82,362, 113,671.76 and 52,150.13 is: 71,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,362 : 113,671.76 = 52,150.13 : x
  2. Step 2: Convert to fraction form
    82,362/113,671.76 = 52,150.13/x
  3. Step 3: Cross multiply
    82,362x = 113,671.76 × 52,150.13
  4. Step 4: Simplify right side
    82,362x = 5,927,997,061.33
  5. Step 5: Solve for x
    x = 5,927,997,061.33/82,362
  6. Step 6: Final answer
    x = 71,974.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.