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Finding the Fourth Proportional to 70,675.69, 97,529.77 and 40,463.82

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Solution

The fourth proportional to 70,675.69, 97,529.77 and 40,463.82 is: 55,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,675.69 : 97,529.77 = 40,463.82 : x
  2. Step 2: Convert to fraction form
    70,675.69/97,529.77 = 40,463.82/x
  3. Step 3: Cross multiply
    70,675.69x = 97,529.77 × 40,463.82
  4. Step 4: Simplify right side
    70,675.69x = 3,946,427,057.92
  5. Step 5: Solve for x
    x = 3,946,427,057.92/70,675.69
  6. Step 6: Final answer
    x = 55,838.54

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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.