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Finding the Fourth Proportional to 70,266, 105,397.92 and 22,883.28

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Solution

The fourth proportional to 70,266, 105,397.92 and 22,883.28 is: 34,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,266 : 105,397.92 = 22,883.28 : x
  2. Step 2: Convert to fraction form
    70,266/105,397.92 = 22,883.28/x
  3. Step 3: Cross multiply
    70,266x = 105,397.92 × 22,883.28
  4. Step 4: Simplify right side
    70,266x = 2,411,850,114.78
  5. Step 5: Solve for x
    x = 2,411,850,114.78/70,266
  6. Step 6: Final answer
    x = 34,324.57

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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.