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Finding the Fourth Proportional to 30,572.34, 42,190.28 and 17,825.18

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Solution

The fourth proportional to 30,572.34, 42,190.28 and 17,825.18 is: 24,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.34 : 42,190.28 = 17,825.18 : x
  2. Step 2: Convert to fraction form
    30,572.34/42,190.28 = 17,825.18/x
  3. Step 3: Cross multiply
    30,572.34x = 42,190.28 × 17,825.18
  4. Step 4: Simplify right side
    30,572.34x = 752,049,035.17
  5. Step 5: Solve for x
    x = 752,049,035.17/30,572.34
  6. Step 6: Final answer
    x = 24,599.00

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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.