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Finding the Fourth Proportional to 52,995.10, 73,117.29 and 31,766.62

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Solution

The fourth proportional to 52,995.10, 73,117.29 and 31,766.62 is: 43,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,995.10 : 73,117.29 = 31,766.62 : x
  2. Step 2: Convert to fraction form
    52,995.10/73,117.29 = 31,766.62/x
  3. Step 3: Cross multiply
    52,995.10x = 73,117.29 × 31,766.62
  4. Step 4: Simplify right side
    52,995.10x = 2,322,689,166.86
  5. Step 5: Solve for x
    x = 2,322,689,166.86/52,995.10
  6. Step 6: Final answer
    x = 43,828.38

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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.