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Finding the Fourth Proportional to 70,963.84, 106,325.26 and 42,824.76

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Solution

The fourth proportional to 70,963.84, 106,325.26 and 42,824.76 is: 64,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963.84 : 106,325.26 = 42,824.76 : x
  2. Step 2: Convert to fraction form
    70,963.84/106,325.26 = 42,824.76/x
  3. Step 3: Cross multiply
    70,963.84x = 106,325.26 × 42,824.76
  4. Step 4: Simplify right side
    70,963.84x = 4,553,353,580.84
  5. Step 5: Solve for x
    x = 4,553,353,580.84/70,963.84
  6. Step 6: Final answer
    x = 64,164.42

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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.