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Finding the Fourth Proportional to 32,809.74, 49,214.64 and 9,436.14

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Solution

The fourth proportional to 32,809.74, 49,214.64 and 9,436.14 is: 14,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.74 : 49,214.64 = 9,436.14 : x
  2. Step 2: Convert to fraction form
    32,809.74/49,214.64 = 9,436.14/x
  3. Step 3: Cross multiply
    32,809.74x = 49,214.64 × 9,436.14
  4. Step 4: Simplify right side
    32,809.74x = 464,396,233.09
  5. Step 5: Solve for x
    x = 464,396,233.09/32,809.74
  6. Step 6: Final answer
    x = 14,154.22

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1.5x scale

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.