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Finding the Fourth Proportional to 70,401.16, 105,642.78 and 26,058.76

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Solution

The fourth proportional to 70,401.16, 105,642.78 and 26,058.76 is: 39,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,401.16 : 105,642.78 = 26,058.76 : x
  2. Step 2: Convert to fraction form
    70,401.16/105,642.78 = 26,058.76/x
  3. Step 3: Cross multiply
    70,401.16x = 105,642.78 × 26,058.76
  4. Step 4: Simplify right side
    70,401.16x = 2,752,919,849.75
  5. Step 5: Solve for x
    x = 2,752,919,849.75/70,401.16
  6. Step 6: Final answer
    x = 39,103.33

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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.