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Finding the Fourth Proportional to 48,113.64, 72,185.04 and 21,811.32

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Solution

The fourth proportional to 48,113.64, 72,185.04 and 21,811.32 is: 32,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,113.64 : 72,185.04 = 21,811.32 : x
  2. Step 2: Convert to fraction form
    48,113.64/72,185.04 = 21,811.32/x
  3. Step 3: Cross multiply
    48,113.64x = 72,185.04 × 21,811.32
  4. Step 4: Simplify right side
    48,113.64x = 1,574,451,006.65
  5. Step 5: Solve for x
    x = 1,574,451,006.65/48,113.64
  6. Step 6: Final answer
    x = 32,723.59

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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.