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Finding the Fourth Proportional to 32,895.71, 49,348.43 and 9,519.11

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Solution

The fourth proportional to 32,895.71, 49,348.43 and 9,519.11 is: 14,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895.71 : 49,348.43 = 9,519.11 : x
  2. Step 2: Convert to fraction form
    32,895.71/49,348.43 = 9,519.11/x
  3. Step 3: Cross multiply
    32,895.71x = 49,348.43 × 9,519.11
  4. Step 4: Simplify right side
    32,895.71x = 469,753,133.50
  5. Step 5: Solve for x
    x = 469,753,133.50/32,895.71
  6. Step 6: Final answer
    x = 14,280.07

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Why These Related Problems?

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