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Finding the Fourth Proportional to 52,416.74, 72,347.22 and 31,208.12

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Solution

The fourth proportional to 52,416.74, 72,347.22 and 31,208.12 is: 43,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416.74 : 72,347.22 = 31,208.12 : x
  2. Step 2: Convert to fraction form
    52,416.74/72,347.22 = 31,208.12/x
  3. Step 3: Cross multiply
    52,416.74x = 72,347.22 × 31,208.12
  4. Step 4: Simplify right side
    52,416.74x = 2,257,820,723.43
  5. Step 5: Solve for x
    x = 2,257,820,723.43/52,416.74
  6. Step 6: Final answer
    x = 43,074.42

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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.