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Finding the Fourth Proportional to 32,853.16, 45,318.18 and 20,269

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Solution

The fourth proportional to 32,853.16, 45,318.18 and 20,269 is: 27,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.16 : 45,318.18 = 20,269 : x
  2. Step 2: Convert to fraction form
    32,853.16/45,318.18 = 20,269/x
  3. Step 3: Cross multiply
    32,853.16x = 45,318.18 × 20,269
  4. Step 4: Simplify right side
    32,853.16x = 918,554,190.42
  5. Step 5: Solve for x
    x = 918,554,190.42/32,853.16
  6. Step 6: Final answer
    x = 27,959.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.