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Finding the Fourth Proportional to 30,241, 45,349.71 and 17,764.21

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Solution

The fourth proportional to 30,241, 45,349.71 and 17,764.21 is: 26,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241 : 45,349.71 = 17,764.21 : x
  2. Step 2: Convert to fraction form
    30,241/45,349.71 = 17,764.21/x
  3. Step 3: Cross multiply
    30,241x = 45,349.71 × 17,764.21
  4. Step 4: Simplify right side
    30,241x = 805,601,771.88
  5. Step 5: Solve for x
    x = 805,601,771.88/30,241
  6. Step 6: Final answer
    x = 26,639.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.