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Finding the Fourth Proportional to 82,911, 124,366.86 and 27,507

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Solution

The fourth proportional to 82,911, 124,366.86 and 27,507 is: 41,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911 : 124,366.86 = 27,507 : x
  2. Step 2: Convert to fraction form
    82,911/124,366.86 = 27,507/x
  3. Step 3: Cross multiply
    82,911x = 124,366.86 × 27,507
  4. Step 4: Simplify right side
    82,911x = 3,420,959,218.02
  5. Step 5: Solve for x
    x = 3,420,959,218.02/82,911
  6. Step 6: Final answer
    x = 41,260.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.