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Finding the Fourth Proportional to 84,864.48, 117,114.84 and 49,056

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Solution

The fourth proportional to 84,864.48, 117,114.84 and 49,056 is: 67,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,864.48 : 117,114.84 = 49,056 : x
  2. Step 2: Convert to fraction form
    84,864.48/117,114.84 = 49,056/x
  3. Step 3: Cross multiply
    84,864.48x = 117,114.84 × 49,056
  4. Step 4: Simplify right side
    84,864.48x = 5,745,185,591.04
  5. Step 5: Solve for x
    x = 5,745,185,591.04/84,864.48
  6. Step 6: Final answer
    x = 67,698.35

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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.