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Finding the Fourth Proportional to 70,884.64, 97,824.11 and 42,197.81

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Solution

The fourth proportional to 70,884.64, 97,824.11 and 42,197.81 is: 58,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884.64 : 97,824.11 = 42,197.81 : x
  2. Step 2: Convert to fraction form
    70,884.64/97,824.11 = 42,197.81/x
  3. Step 3: Cross multiply
    70,884.64x = 97,824.11 × 42,197.81
  4. Step 4: Simplify right side
    70,884.64x = 4,127,962,507.09
  5. Step 5: Solve for x
    x = 4,127,962,507.09/70,884.64
  6. Step 6: Final answer
    x = 58,234.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.