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Finding the Fourth Proportional to 52,550.12, 72,483.06 and 31,313

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Solution

The fourth proportional to 52,550.12, 72,483.06 and 31,313 is: 43,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,550.12 : 72,483.06 = 31,313 : x
  2. Step 2: Convert to fraction form
    52,550.12/72,483.06 = 31,313/x
  3. Step 3: Cross multiply
    52,550.12x = 72,483.06 × 31,313
  4. Step 4: Simplify right side
    52,550.12x = 2,269,662,057.78
  5. Step 5: Solve for x
    x = 2,269,662,057.78/52,550.12
  6. Step 6: Final answer
    x = 43,190.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.