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Finding the Fourth Proportional to 30,557, 42,170.32 and 17,132.56

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Solution

The fourth proportional to 30,557, 42,170.32 and 17,132.56 is: 23,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557 : 42,170.32 = 17,132.56 : x
  2. Step 2: Convert to fraction form
    30,557/42,170.32 = 17,132.56/x
  3. Step 3: Cross multiply
    30,557x = 42,170.32 × 17,132.56
  4. Step 4: Simplify right side
    30,557x = 722,485,537.62
  5. Step 5: Solve for x
    x = 722,485,537.62/30,557
  6. Step 6: Final answer
    x = 23,643.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.