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Finding the Fourth Proportional to 52,673.87, 72,688.54 and 31,164.73

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Solution

The fourth proportional to 52,673.87, 72,688.54 and 31,164.73 is: 43,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,673.87 : 72,688.54 = 31,164.73 : x
  2. Step 2: Convert to fraction form
    52,673.87/72,688.54 = 31,164.73/x
  3. Step 3: Cross multiply
    52,673.87x = 72,688.54 × 31,164.73
  4. Step 4: Simplify right side
    52,673.87x = 2,265,318,723.19
  5. Step 5: Solve for x
    x = 2,265,318,723.19/52,673.87
  6. Step 6: Final answer
    x = 43,006.50

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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.