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Finding the Fourth Proportional to 30,754.52, 46,133 and 8,569.84

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Solution

The fourth proportional to 30,754.52, 46,133 and 8,569.84 is: 12,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.52 : 46,133 = 8,569.84 : x
  2. Step 2: Convert to fraction form
    30,754.52/46,133 = 8,569.84/x
  3. Step 3: Cross multiply
    30,754.52x = 46,133 × 8,569.84
  4. Step 4: Simplify right side
    30,754.52x = 395,352,428.72
  5. Step 5: Solve for x
    x = 395,352,428.72/30,754.52
  6. Step 6: Final answer
    x = 12,855.10

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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.