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Finding the Fourth Proportional to 76,272, 105,255.36 and 42,748.80

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Solution

The fourth proportional to 76,272, 105,255.36 and 42,748.80 is: 58,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,272 : 105,255.36 = 42,748.80 : x
  2. Step 2: Convert to fraction form
    76,272/105,255.36 = 42,748.80/x
  3. Step 3: Cross multiply
    76,272x = 105,255.36 × 42,748.80
  4. Step 4: Simplify right side
    76,272x = 4,499,540,333.57
  5. Step 5: Solve for x
    x = 4,499,540,333.57/76,272
  6. Step 6: Final answer
    x = 58,993.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.