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Finding the Fourth Proportional to 42,807.20, 64,191.60 and 19,421.60

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Solution

The fourth proportional to 42,807.20, 64,191.60 and 19,421.60 is: 29,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.20 : 64,191.60 = 19,421.60 : x
  2. Step 2: Convert to fraction form
    42,807.20/64,191.60 = 19,421.60/x
  3. Step 3: Cross multiply
    42,807.20x = 64,191.60 × 19,421.60
  4. Step 4: Simplify right side
    42,807.20x = 1,246,703,578.56
  5. Step 5: Solve for x
    x = 1,246,703,578.56/42,807.20
  6. Step 6: Final answer
    x = 29,123.69

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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.