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Finding the Fourth Proportional to 30,846.06, 42,523 and 20,217.24

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Solution

The fourth proportional to 30,846.06, 42,523 and 20,217.24 is: 27,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.06 : 42,523 = 20,217.24 : x
  2. Step 2: Convert to fraction form
    30,846.06/42,523 = 20,217.24/x
  3. Step 3: Cross multiply
    30,846.06x = 42,523 × 20,217.24
  4. Step 4: Simplify right side
    30,846.06x = 859,697,696.52
  5. Step 5: Solve for x
    x = 859,697,696.52/30,846.06
  6. Step 6: Final answer
    x = 27,870.58

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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.