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Finding the Fourth Proportional to 77,401.88, 116,119.24 and 24,848.28

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Solution

The fourth proportional to 77,401.88, 116,119.24 and 24,848.28 is: 37,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,401.88 : 116,119.24 = 24,848.28 : x
  2. Step 2: Convert to fraction form
    77,401.88/116,119.24 = 24,848.28/x
  3. Step 3: Cross multiply
    77,401.88x = 116,119.24 × 24,848.28
  4. Step 4: Simplify right side
    77,401.88x = 2,885,363,388.91
  5. Step 5: Solve for x
    x = 2,885,363,388.91/77,401.88
  6. Step 6: Final answer
    x = 37,277.69

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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.