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Finding the Fourth Proportional to 42,463.32, 63,634.41 and 31,282.08

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Solution

The fourth proportional to 42,463.32, 63,634.41 and 31,282.08 is: 46,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,463.32 : 63,634.41 = 31,282.08 : x
  2. Step 2: Convert to fraction form
    42,463.32/63,634.41 = 31,282.08/x
  3. Step 3: Cross multiply
    42,463.32x = 63,634.41 × 31,282.08
  4. Step 4: Simplify right side
    42,463.32x = 1,990,616,704.37
  5. Step 5: Solve for x
    x = 1,990,616,704.37/42,463.32
  6. Step 6: Final answer
    x = 46,878.50

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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.