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Finding the Fourth Proportional to 30,724.90, 42,400.02 and 17,805.94

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Solution

The fourth proportional to 30,724.90, 42,400.02 and 17,805.94 is: 24,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.90 : 42,400.02 = 17,805.94 : x
  2. Step 2: Convert to fraction form
    30,724.90/42,400.02 = 17,805.94/x
  3. Step 3: Cross multiply
    30,724.90x = 42,400.02 × 17,805.94
  4. Step 4: Simplify right side
    30,724.90x = 754,972,212.12
  5. Step 5: Solve for x
    x = 754,972,212.12/30,724.90
  6. Step 6: Final answer
    x = 24,572.00

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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.