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Finding the Fourth Proportional to 30,541.88, 42,147.06 and 17,113.70

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Solution

The fourth proportional to 30,541.88, 42,147.06 and 17,113.70 is: 23,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.88 : 42,147.06 = 17,113.70 : x
  2. Step 2: Convert to fraction form
    30,541.88/42,147.06 = 17,113.70/x
  3. Step 3: Cross multiply
    30,541.88x = 42,147.06 × 17,113.70
  4. Step 4: Simplify right side
    30,541.88x = 721,292,140.72
  5. Step 5: Solve for x
    x = 721,292,140.72/30,541.88
  6. Step 6: Final answer
    x = 23,616.49

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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.