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Finding the Fourth Proportional to 30,823.59, 42,559.12 and 19,928.18

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Solution

The fourth proportional to 30,823.59, 42,559.12 and 19,928.18 is: 27,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.59 : 42,559.12 = 19,928.18 : x
  2. Step 2: Convert to fraction form
    30,823.59/42,559.12 = 19,928.18/x
  3. Step 3: Cross multiply
    30,823.59x = 42,559.12 × 19,928.18
  4. Step 4: Simplify right side
    30,823.59x = 848,125,695.91
  5. Step 5: Solve for x
    x = 848,125,695.91/30,823.59
  6. Step 6: Final answer
    x = 27,515.48

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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.