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Finding the Fourth Proportional to 37,178.34, 51,302.70 and 22,068.42

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Solution

The fourth proportional to 37,178.34, 51,302.70 and 22,068.42 is: 30,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,178.34 : 51,302.70 = 22,068.42 : x
  2. Step 2: Convert to fraction form
    37,178.34/51,302.70 = 22,068.42/x
  3. Step 3: Cross multiply
    37,178.34x = 51,302.70 × 22,068.42
  4. Step 4: Simplify right side
    37,178.34x = 1,132,169,530.73
  5. Step 5: Solve for x
    x = 1,132,169,530.73/37,178.34
  6. Step 6: Final answer
    x = 30,452.40

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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.