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Finding the Fourth Proportional to 70,838.10, 97,753.42 and 40,601.74

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Solution

The fourth proportional to 70,838.10, 97,753.42 and 40,601.74 is: 56,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.10 : 97,753.42 = 40,601.74 : x
  2. Step 2: Convert to fraction form
    70,838.10/97,753.42 = 40,601.74/x
  3. Step 3: Cross multiply
    70,838.10x = 97,753.42 × 40,601.74
  4. Step 4: Simplify right side
    70,838.10x = 3,968,958,942.95
  5. Step 5: Solve for x
    x = 3,968,958,942.95/70,838.10
  6. Step 6: Final answer
    x = 56,028.59

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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.