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Finding the Fourth Proportional to 42,757.98, 64,143 and 13,178.22

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Solution

The fourth proportional to 42,757.98, 64,143 and 13,178.22 is: 19,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,757.98 : 64,143 = 13,178.22 : x
  2. Step 2: Convert to fraction form
    42,757.98/64,143 = 13,178.22/x
  3. Step 3: Cross multiply
    42,757.98x = 64,143 × 13,178.22
  4. Step 4: Simplify right side
    42,757.98x = 845,290,565.46
  5. Step 5: Solve for x
    x = 845,290,565.46/42,757.98
  6. Step 6: Final answer
    x = 19,769.19

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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.