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Finding the Fourth Proportional to 30,898.27, 46,352.23 and 9,843.02

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Solution

The fourth proportional to 30,898.27, 46,352.23 and 9,843.02 is: 14,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.27 : 46,352.23 = 9,843.02 : x
  2. Step 2: Convert to fraction form
    30,898.27/46,352.23 = 9,843.02/x
  3. Step 3: Cross multiply
    30,898.27x = 46,352.23 × 9,843.02
  4. Step 4: Simplify right side
    30,898.27x = 456,246,160.49
  5. Step 5: Solve for x
    x = 456,246,160.49/30,898.27
  6. Step 6: Final answer
    x = 14,766.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.