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Finding the Fourth Proportional to 35,468.40, 48,937.56 and 22,878

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Solution

The fourth proportional to 35,468.40, 48,937.56 and 22,878 is: 31,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.40 : 48,937.56 = 22,878 : x
  2. Step 2: Convert to fraction form
    35,468.40/48,937.56 = 22,878/x
  3. Step 3: Cross multiply
    35,468.40x = 48,937.56 × 22,878
  4. Step 4: Simplify right side
    35,468.40x = 1,119,593,497.68
  5. Step 5: Solve for x
    x = 1,119,593,497.68/35,468.40
  6. Step 6: Final answer
    x = 31,565.94

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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.