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Finding the Fourth Proportional to 35,415.80, 52,864.58 and 31,212.14

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Solution

The fourth proportional to 35,415.80, 52,864.58 and 31,212.14 is: 46,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415.80 : 52,864.58 = 31,212.14 : x
  2. Step 2: Convert to fraction form
    35,415.80/52,864.58 = 31,212.14/x
  3. Step 3: Cross multiply
    35,415.80x = 52,864.58 × 31,212.14
  4. Step 4: Simplify right side
    35,415.80x = 1,650,016,882.19
  5. Step 5: Solve for x
    x = 1,650,016,882.19/35,415.80
  6. Step 6: Final answer
    x = 46,589.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.