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Finding the Fourth Proportional to 82,888, 124,351.68 and 27,484

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Solution

The fourth proportional to 82,888, 124,351.68 and 27,484 is: 41,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,888 : 124,351.68 = 27,484 : x
  2. Step 2: Convert to fraction form
    82,888/124,351.68 = 27,484/x
  3. Step 3: Cross multiply
    82,888x = 124,351.68 × 27,484
  4. Step 4: Simplify right side
    82,888x = 3,417,681,573.12
  5. Step 5: Solve for x
    x = 3,417,681,573.12/82,888
  6. Step 6: Final answer
    x = 41,232.53

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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.