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Finding the Fourth Proportional to 30,947.84, 42,743.18 and 20,858.88

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Solution

The fourth proportional to 30,947.84, 42,743.18 and 20,858.88 is: 28,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.84 : 42,743.18 = 20,858.88 : x
  2. Step 2: Convert to fraction form
    30,947.84/42,743.18 = 20,858.88/x
  3. Step 3: Cross multiply
    30,947.84x = 42,743.18 × 20,858.88
  4. Step 4: Simplify right side
    30,947.84x = 891,574,758.14
  5. Step 5: Solve for x
    x = 891,574,758.14/30,947.84
  6. Step 6: Final answer
    x = 28,808.95

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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.