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Finding the Fourth Proportional to 42,850.64, 64,165.20 and 29,564.60

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Solution

The fourth proportional to 42,850.64, 64,165.20 and 29,564.60 is: 44,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,850.64 : 64,165.20 = 29,564.60 : x
  2. Step 2: Convert to fraction form
    42,850.64/64,165.20 = 29,564.60/x
  3. Step 3: Cross multiply
    42,850.64x = 64,165.20 × 29,564.60
  4. Step 4: Simplify right side
    42,850.64x = 1,897,018,471.92
  5. Step 5: Solve for x
    x = 1,897,018,471.92/42,850.64
  6. Step 6: Final answer
    x = 44,270.48

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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.