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Finding the Fourth Proportional to 55,977.57, 77,224.07 and 37,822.43

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Solution

The fourth proportional to 55,977.57, 77,224.07 and 37,822.43 is: 52,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,977.57 : 77,224.07 = 37,822.43 : x
  2. Step 2: Convert to fraction form
    55,977.57/77,224.07 = 37,822.43/x
  3. Step 3: Cross multiply
    55,977.57x = 77,224.07 × 37,822.43
  4. Step 4: Simplify right side
    55,977.57x = 2,920,802,269.51
  5. Step 5: Solve for x
    x = 2,920,802,269.51/55,977.57
  6. Step 6: Final answer
    x = 52,178.08

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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.