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Finding the Fourth Proportional to 70,676.98, 97,535.38 and 40,462.18

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Solution

The fourth proportional to 70,676.98, 97,535.38 and 40,462.18 is: 55,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.98 : 97,535.38 = 40,462.18 : x
  2. Step 2: Convert to fraction form
    70,676.98/97,535.38 = 40,462.18/x
  3. Step 3: Cross multiply
    70,676.98x = 97,535.38 × 40,462.18
  4. Step 4: Simplify right side
    70,676.98x = 3,946,494,101.93
  5. Step 5: Solve for x
    x = 3,946,494,101.93/70,676.98
  6. Step 6: Final answer
    x = 55,838.47

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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.