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Finding the Fourth Proportional to 49,871.16, 74,807.04 and 14,811.12

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Solution

The fourth proportional to 49,871.16, 74,807.04 and 14,811.12 is: 22,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.16 : 74,807.04 = 14,811.12 : x
  2. Step 2: Convert to fraction form
    49,871.16/74,807.04 = 14,811.12/x
  3. Step 3: Cross multiply
    49,871.16x = 74,807.04 × 14,811.12
  4. Step 4: Simplify right side
    49,871.16x = 1,107,976,046.28
  5. Step 5: Solve for x
    x = 1,107,976,046.28/49,871.16
  6. Step 6: Final answer
    x = 22,216.77

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Why These Related Problems?

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