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Finding the Fourth Proportional to 78,814.70, 118,222.05 and 37,342.70

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Solution

The fourth proportional to 78,814.70, 118,222.05 and 37,342.70 is: 56,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,814.70 : 118,222.05 = 37,342.70 : x
  2. Step 2: Convert to fraction form
    78,814.70/118,222.05 = 37,342.70/x
  3. Step 3: Cross multiply
    78,814.70x = 118,222.05 × 37,342.70
  4. Step 4: Simplify right side
    78,814.70x = 4,414,730,546.54
  5. Step 5: Solve for x
    x = 4,414,730,546.54/78,814.70
  6. Step 6: Final answer
    x = 56,014.05

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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.