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Finding the Fourth Proportional to 77,365, 116,049.12 and 24,774.34

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Solution

The fourth proportional to 77,365, 116,049.12 and 24,774.34 is: 37,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,365 : 116,049.12 = 24,774.34 : x
  2. Step 2: Convert to fraction form
    77,365/116,049.12 = 24,774.34/x
  3. Step 3: Cross multiply
    77,365x = 116,049.12 × 24,774.34
  4. Step 4: Simplify right side
    77,365x = 2,875,040,355.58
  5. Step 5: Solve for x
    x = 2,875,040,355.58/77,365
  6. Step 6: Final answer
    x = 37,162.03

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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.