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Finding the Fourth Proportional to 55,022.50, 75,931.14 and 29,872

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Solution

The fourth proportional to 55,022.50, 75,931.14 and 29,872 is: 41,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,022.50 : 75,931.14 = 29,872 : x
  2. Step 2: Convert to fraction form
    55,022.50/75,931.14 = 29,872/x
  3. Step 3: Cross multiply
    55,022.50x = 75,931.14 × 29,872
  4. Step 4: Simplify right side
    55,022.50x = 2,268,215,014.08
  5. Step 5: Solve for x
    x = 2,268,215,014.08/55,022.50
  6. Step 6: Final answer
    x = 41,223.41

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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.