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Finding the Fourth Proportional to 78,823.20, 118,234.80 and 37,351.20

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Solution

The fourth proportional to 78,823.20, 118,234.80 and 37,351.20 is: 56,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.20 : 118,234.80 = 37,351.20 : x
  2. Step 2: Convert to fraction form
    78,823.20/118,234.80 = 37,351.20/x
  3. Step 3: Cross multiply
    78,823.20x = 118,234.80 × 37,351.20
  4. Step 4: Simplify right side
    78,823.20x = 4,416,211,661.76
  5. Step 5: Solve for x
    x = 4,416,211,661.76/78,823.20
  6. Step 6: Final answer
    x = 56,026.80

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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.