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Finding the Fourth Proportional to 42,905.43, 64,355.04 and 14,442.57

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Solution

The fourth proportional to 42,905.43, 64,355.04 and 14,442.57 is: 21,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,905.43 : 64,355.04 = 14,442.57 : x
  2. Step 2: Convert to fraction form
    42,905.43/64,355.04 = 14,442.57/x
  3. Step 3: Cross multiply
    42,905.43x = 64,355.04 × 14,442.57
  4. Step 4: Simplify right side
    42,905.43x = 929,452,170.05
  5. Step 5: Solve for x
    x = 929,452,170.05/42,905.43
  6. Step 6: Final answer
    x = 21,662.81

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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.