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Finding the Fourth Proportional to 77,308.54, 115,960.98 and 24,718.48

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Solution

The fourth proportional to 77,308.54, 115,960.98 and 24,718.48 is: 37,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,308.54 : 115,960.98 = 24,718.48 : x
  2. Step 2: Convert to fraction form
    77,308.54/115,960.98 = 24,718.48/x
  3. Step 3: Cross multiply
    77,308.54x = 115,960.98 × 24,718.48
  4. Step 4: Simplify right side
    77,308.54x = 2,866,379,164.91
  5. Step 5: Solve for x
    x = 2,866,379,164.91/77,308.54
  6. Step 6: Final answer
    x = 37,077.13

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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.