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Finding the Fourth Proportional to 52,162.42, 71,985.38 and 31,737.46

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Solution

The fourth proportional to 52,162.42, 71,985.38 and 31,737.46 is: 43,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,162.42 : 71,985.38 = 31,737.46 : x
  2. Step 2: Convert to fraction form
    52,162.42/71,985.38 = 31,737.46/x
  3. Step 3: Cross multiply
    52,162.42x = 71,985.38 × 31,737.46
  4. Step 4: Simplify right side
    52,162.42x = 2,284,633,118.33
  5. Step 5: Solve for x
    x = 2,284,633,118.33/52,162.42
  6. Step 6: Final answer
    x = 43,798.45

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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.