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Finding the Fourth Proportional to 64,204.30, 96,415.80 and 42,115.60

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Solution

The fourth proportional to 64,204.30, 96,415.80 and 42,115.60 is: 63,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,204.30 : 96,415.80 = 42,115.60 : x
  2. Step 2: Convert to fraction form
    64,204.30/96,415.80 = 42,115.60/x
  3. Step 3: Cross multiply
    64,204.30x = 96,415.80 × 42,115.60
  4. Step 4: Simplify right side
    64,204.30x = 4,060,609,266.48
  5. Step 5: Solve for x
    x = 4,060,609,266.48/64,204.30
  6. Step 6: Final answer
    x = 63,245.13

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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.