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Finding the Fourth Proportional to 77,384.70, 115,998.48 and 35,293.86

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Solution

The fourth proportional to 77,384.70, 115,998.48 and 35,293.86 is: 52,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.70 : 115,998.48 = 35,293.86 : x
  2. Step 2: Convert to fraction form
    77,384.70/115,998.48 = 35,293.86/x
  3. Step 3: Cross multiply
    77,384.70x = 115,998.48 × 35,293.86
  4. Step 4: Simplify right side
    77,384.70x = 4,094,034,113.33
  5. Step 5: Solve for x
    x = 4,094,034,113.33/77,384.70
  6. Step 6: Final answer
    x = 52,904.96

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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.