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Finding the Fourth Proportional to 40,448, 55,818.24 and 22,784

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Solution

The fourth proportional to 40,448, 55,818.24 and 22,784 is: 31,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,448 : 55,818.24 = 22,784 : x
  2. Step 2: Convert to fraction form
    40,448/55,818.24 = 22,784/x
  3. Step 3: Cross multiply
    40,448x = 55,818.24 × 22,784
  4. Step 4: Simplify right side
    40,448x = 1,271,762,780.16
  5. Step 5: Solve for x
    x = 1,271,762,780.16/40,448
  6. Step 6: Final answer
    x = 31,441.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.