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Finding the Fourth Proportional to 64,076.20, 96,114.68 and 42,029.60

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Solution

The fourth proportional to 64,076.20, 96,114.68 and 42,029.60 is: 63,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,076.20 : 96,114.68 = 42,029.60 : x
  2. Step 2: Convert to fraction form
    64,076.20/96,114.68 = 42,029.60/x
  3. Step 3: Cross multiply
    64,076.20x = 96,114.68 × 42,029.60
  4. Step 4: Simplify right side
    64,076.20x = 4,039,661,554.53
  5. Step 5: Solve for x
    x = 4,039,661,554.53/64,076.20
  6. Step 6: Final answer
    x = 63,044.65

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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.