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Finding the Fourth Proportional to 70,768.48, 106,154.16 and 24,021.28

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Solution

The fourth proportional to 70,768.48, 106,154.16 and 24,021.28 is: 36,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.48 : 106,154.16 = 24,021.28 : x
  2. Step 2: Convert to fraction form
    70,768.48/106,154.16 = 24,021.28/x
  3. Step 3: Cross multiply
    70,768.48x = 106,154.16 × 24,021.28
  4. Step 4: Simplify right side
    70,768.48x = 2,549,958,800.52
  5. Step 5: Solve for x
    x = 2,549,958,800.52/70,768.48
  6. Step 6: Final answer
    x = 36,032.41

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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.