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Finding the Fourth Proportional to 30,844.32, 42,520.59 and 20,215.50

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Solution

The fourth proportional to 30,844.32, 42,520.59 and 20,215.50 is: 27,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.32 : 42,520.59 = 20,215.50 : x
  2. Step 2: Convert to fraction form
    30,844.32/42,520.59 = 20,215.50/x
  3. Step 3: Cross multiply
    30,844.32x = 42,520.59 × 20,215.50
  4. Step 4: Simplify right side
    30,844.32x = 859,574,987.15
  5. Step 5: Solve for x
    x = 859,574,987.15/30,844.32
  6. Step 6: Final answer
    x = 27,868.18

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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.