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Finding the Fourth Proportional to 76,809.60, 115,214.40 and 47,131.20

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Solution

The fourth proportional to 76,809.60, 115,214.40 and 47,131.20 is: 70,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.60 : 115,214.40 = 47,131.20 : x
  2. Step 2: Convert to fraction form
    76,809.60/115,214.40 = 47,131.20/x
  3. Step 3: Cross multiply
    76,809.60x = 115,214.40 × 47,131.20
  4. Step 4: Simplify right side
    76,809.60x = 5,430,192,929.28
  5. Step 5: Solve for x
    x = 5,430,192,929.28/76,809.60
  6. Step 6: Final answer
    x = 70,696.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.