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Finding the Fourth Proportional to 70,462.62, 97,162.47 and 53,497.98

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Solution

The fourth proportional to 70,462.62, 97,162.47 and 53,497.98 is: 73,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,462.62 : 97,162.47 = 53,497.98 : x
  2. Step 2: Convert to fraction form
    70,462.62/97,162.47 = 53,497.98/x
  3. Step 3: Cross multiply
    70,462.62x = 97,162.47 × 53,497.98
  4. Step 4: Simplify right side
    70,462.62x = 5,197,995,876.81
  5. Step 5: Solve for x
    x = 5,197,995,876.81/70,462.62
  6. Step 6: Final answer
    x = 73,769.55

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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.