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Finding the Fourth Proportional to 75,297.84, 112,724.84 and 65,956.11

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Solution

The fourth proportional to 75,297.84, 112,724.84 and 65,956.11 is: 98,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297.84 : 112,724.84 = 65,956.11 : x
  2. Step 2: Convert to fraction form
    75,297.84/112,724.84 = 65,956.11/x
  3. Step 3: Cross multiply
    75,297.84x = 112,724.84 × 65,956.11
  4. Step 4: Simplify right side
    75,297.84x = 7,434,891,616.99
  5. Step 5: Solve for x
    x = 7,434,891,616.99/75,297.84
  6. Step 6: Final answer
    x = 98,739.77

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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.