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Finding the Fourth Proportional to 52,795.33, 72,881.46 and 31,288.57

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Solution

The fourth proportional to 52,795.33, 72,881.46 and 31,288.57 is: 43,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,795.33 : 72,881.46 = 31,288.57 : x
  2. Step 2: Convert to fraction form
    52,795.33/72,881.46 = 31,288.57/x
  3. Step 3: Cross multiply
    52,795.33x = 72,881.46 × 31,288.57
  4. Step 4: Simplify right side
    52,795.33x = 2,280,356,662.91
  5. Step 5: Solve for x
    x = 2,280,356,662.91/52,795.33
  6. Step 6: Final answer
    x = 43,192.39

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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.