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Finding the Fourth Proportional to 70,154.64, 105,093.18 and 36,824.76

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Solution

The fourth proportional to 70,154.64, 105,093.18 and 36,824.76 is: 55,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154.64 : 105,093.18 = 36,824.76 : x
  2. Step 2: Convert to fraction form
    70,154.64/105,093.18 = 36,824.76/x
  3. Step 3: Cross multiply
    70,154.64x = 105,093.18 × 36,824.76
  4. Step 4: Simplify right side
    70,154.64x = 3,870,031,131.14
  5. Step 5: Solve for x
    x = 3,870,031,131.14/70,154.64
  6. Step 6: Final answer
    x = 55,164.29

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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.