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Finding the Fourth Proportional to 77,164.50, 115,746.63 and 50,677.71

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Solution

The fourth proportional to 77,164.50, 115,746.63 and 50,677.71 is: 76,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.50 : 115,746.63 = 50,677.71 : x
  2. Step 2: Convert to fraction form
    77,164.50/115,746.63 = 50,677.71/x
  3. Step 3: Cross multiply
    77,164.50x = 115,746.63 × 50,677.71
  4. Step 4: Simplify right side
    77,164.50x = 5,865,774,148.62
  5. Step 5: Solve for x
    x = 5,865,774,148.62/77,164.50
  6. Step 6: Final answer
    x = 76,016.49

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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.