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Finding the Fourth Proportional to 55,025.52, 75,936.10 and 29,875

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Solution

The fourth proportional to 55,025.52, 75,936.10 and 29,875 is: 41,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,025.52 : 75,936.10 = 29,875 : x
  2. Step 2: Convert to fraction form
    55,025.52/75,936.10 = 29,875/x
  3. Step 3: Cross multiply
    55,025.52x = 75,936.10 × 29,875
  4. Step 4: Simplify right side
    55,025.52x = 2,268,590,987.50
  5. Step 5: Solve for x
    x = 2,268,590,987.50/55,025.52
  6. Step 6: Final answer
    x = 41,227.98

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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.