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Finding the Fourth Proportional to 42,759.98, 64,146 and 13,180.22

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Solution

The fourth proportional to 42,759.98, 64,146 and 13,180.22 is: 19,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,759.98 : 64,146 = 13,180.22 : x
  2. Step 2: Convert to fraction form
    42,759.98/64,146 = 13,180.22/x
  3. Step 3: Cross multiply
    42,759.98x = 64,146 × 13,180.22
  4. Step 4: Simplify right side
    42,759.98x = 845,458,392.12
  5. Step 5: Solve for x
    x = 845,458,392.12/42,759.98
  6. Step 6: Final answer
    x = 19,772.19

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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.