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Finding the Fourth Proportional to 71,224.64, 106,913.28 and 36,154.88

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Solution

The fourth proportional to 71,224.64, 106,913.28 and 36,154.88 is: 54,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224.64 : 106,913.28 = 36,154.88 : x
  2. Step 2: Convert to fraction form
    71,224.64/106,913.28 = 36,154.88/x
  3. Step 3: Cross multiply
    71,224.64x = 106,913.28 × 36,154.88
  4. Step 4: Simplify right side
    71,224.64x = 3,865,436,808.81
  5. Step 5: Solve for x
    x = 3,865,436,808.81/71,224.64
  6. Step 6: Final answer
    x = 54,271.06

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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.