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Finding the Fourth Proportional to 70,985.92, 97,967.44 and 53,049.82

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Solution

The fourth proportional to 70,985.92, 97,967.44 and 53,049.82 is: 73,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,985.92 : 97,967.44 = 53,049.82 : x
  2. Step 2: Convert to fraction form
    70,985.92/97,967.44 = 53,049.82/x
  3. Step 3: Cross multiply
    70,985.92x = 97,967.44 × 53,049.82
  4. Step 4: Simplify right side
    70,985.92x = 5,197,155,057.86
  5. Step 5: Solve for x
    x = 5,197,155,057.86/70,985.92
  6. Step 6: Final answer
    x = 73,213.89

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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.