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Finding the Fourth Proportional to 38,535, 57,814.16 and 27,312.05

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Solution

The fourth proportional to 38,535, 57,814.16 and 27,312.05 is: 40,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535 : 57,814.16 = 27,312.05 : x
  2. Step 2: Convert to fraction form
    38,535/57,814.16 = 27,312.05/x
  3. Step 3: Cross multiply
    38,535x = 57,814.16 × 27,312.05
  4. Step 4: Simplify right side
    38,535x = 1,579,022,803.00
  5. Step 5: Solve for x
    x = 1,579,022,803.00/38,535
  6. Step 6: Final answer
    x = 40,976.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.