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Finding the Fourth Proportional to 33,670.47, 50,523.02 and 25,823.40

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Solution

The fourth proportional to 33,670.47, 50,523.02 and 25,823.40 is: 38,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670.47 : 50,523.02 = 25,823.40 : x
  2. Step 2: Convert to fraction form
    33,670.47/50,523.02 = 25,823.40/x
  3. Step 3: Cross multiply
    33,670.47x = 50,523.02 × 25,823.40
  4. Step 4: Simplify right side
    33,670.47x = 1,304,676,154.67
  5. Step 5: Solve for x
    x = 1,304,676,154.67/33,670.47
  6. Step 6: Final answer
    x = 38,748.38

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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.