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Finding the Fourth Proportional to 73,679.84, 110,535.12 and 24,428

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Solution

The fourth proportional to 73,679.84, 110,535.12 and 24,428 is: 36,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,679.84 : 110,535.12 = 24,428 : x
  2. Step 2: Convert to fraction form
    73,679.84/110,535.12 = 24,428/x
  3. Step 3: Cross multiply
    73,679.84x = 110,535.12 × 24,428
  4. Step 4: Simplify right side
    73,679.84x = 2,700,151,911.36
  5. Step 5: Solve for x
    x = 2,700,151,911.36/73,679.84
  6. Step 6: Final answer
    x = 36,647.09

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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.