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Finding the Fourth Proportional to 30,744.64, 42,428.58 and 17,999.08

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Solution

The fourth proportional to 30,744.64, 42,428.58 and 17,999.08 is: 24,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.64 : 42,428.58 = 17,999.08 : x
  2. Step 2: Convert to fraction form
    30,744.64/42,428.58 = 17,999.08/x
  3. Step 3: Cross multiply
    30,744.64x = 42,428.58 × 17,999.08
  4. Step 4: Simplify right side
    30,744.64x = 763,675,405.71
  5. Step 5: Solve for x
    x = 763,675,405.71/30,744.64
  6. Step 6: Final answer
    x = 24,839.30

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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.