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Finding the Fourth Proportional to 55,214, 76,190.52 and 31,341.68

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Solution

The fourth proportional to 55,214, 76,190.52 and 31,341.68 is: 43,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,214 : 76,190.52 = 31,341.68 : x
  2. Step 2: Convert to fraction form
    55,214/76,190.52 = 31,341.68/x
  3. Step 3: Cross multiply
    55,214x = 76,190.52 × 31,341.68
  4. Step 4: Simplify right side
    55,214x = 2,387,938,896.87
  5. Step 5: Solve for x
    x = 2,387,938,896.87/55,214
  6. Step 6: Final answer
    x = 43,248.79

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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.