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Finding the Fourth Proportional to 77,316.54, 115,992.96 and 24,005.78

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Solution

The fourth proportional to 77,316.54, 115,992.96 and 24,005.78 is: 36,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316.54 : 115,992.96 = 24,005.78 : x
  2. Step 2: Convert to fraction form
    77,316.54/115,992.96 = 24,005.78/x
  3. Step 3: Cross multiply
    77,316.54x = 115,992.96 × 24,005.78
  4. Step 4: Simplify right side
    77,316.54x = 2,784,501,479.31
  5. Step 5: Solve for x
    x = 2,784,501,479.31/77,316.54
  6. Step 6: Final answer
    x = 36,014.31

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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.