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Finding the Fourth Proportional to 30,571.84, 42,188.64 and 17,143.08

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Solution

The fourth proportional to 30,571.84, 42,188.64 and 17,143.08 is: 23,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.84 : 42,188.64 = 17,143.08 : x
  2. Step 2: Convert to fraction form
    30,571.84/42,188.64 = 17,143.08/x
  3. Step 3: Cross multiply
    30,571.84x = 42,188.64 × 17,143.08
  4. Step 4: Simplify right side
    30,571.84x = 723,243,230.61
  5. Step 5: Solve for x
    x = 723,243,230.61/30,571.84
  6. Step 6: Final answer
    x = 23,657.17

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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.