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Finding the Fourth Proportional to 76,859.72, 115,294.44 and 24,271.28

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Solution

The fourth proportional to 76,859.72, 115,294.44 and 24,271.28 is: 36,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859.72 : 115,294.44 = 24,271.28 : x
  2. Step 2: Convert to fraction form
    76,859.72/115,294.44 = 24,271.28/x
  3. Step 3: Cross multiply
    76,859.72x = 115,294.44 × 24,271.28
  4. Step 4: Simplify right side
    76,859.72x = 2,798,343,635.68
  5. Step 5: Solve for x
    x = 2,798,343,635.68/76,859.72
  6. Step 6: Final answer
    x = 36,408.45

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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.