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Finding the Fourth Proportional to 76,436, 114,593.68 and 48,296.76

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Solution

The fourth proportional to 76,436, 114,593.68 and 48,296.76 is: 72,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,436 : 114,593.68 = 48,296.76 : x
  2. Step 2: Convert to fraction form
    76,436/114,593.68 = 48,296.76/x
  3. Step 3: Cross multiply
    76,436x = 114,593.68 × 48,296.76
  4. Step 4: Simplify right side
    76,436x = 5,534,503,460.48
  5. Step 5: Solve for x
    x = 5,534,503,460.48/76,436
  6. Step 6: Final answer
    x = 72,407.03

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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.