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Finding the Fourth Proportional to 42,858.35, 64,304.43 and 13,278.49

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Solution

The fourth proportional to 42,858.35, 64,304.43 and 13,278.49 is: 19,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,858.35 : 64,304.43 = 13,278.49 : x
  2. Step 2: Convert to fraction form
    42,858.35/64,304.43 = 13,278.49/x
  3. Step 3: Cross multiply
    42,858.35x = 64,304.43 × 13,278.49
  4. Step 4: Simplify right side
    42,858.35x = 853,865,409.19
  5. Step 5: Solve for x
    x = 853,865,409.19/42,858.35
  6. Step 6: Final answer
    x = 19,922.97

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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.