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Finding the Fourth Proportional to 76,651.60, 114,970.20 and 34,534.48

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Solution

The fourth proportional to 76,651.60, 114,970.20 and 34,534.48 is: 51,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.60 : 114,970.20 = 34,534.48 : x
  2. Step 2: Convert to fraction form
    76,651.60/114,970.20 = 34,534.48/x
  3. Step 3: Cross multiply
    76,651.60x = 114,970.20 × 34,534.48
  4. Step 4: Simplify right side
    76,651.60x = 3,970,436,072.50
  5. Step 5: Solve for x
    x = 3,970,436,072.50/76,651.60
  6. Step 6: Final answer
    x = 51,798.48

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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.