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Finding the Fourth Proportional to 30,443.50, 45,665.34 and 11,975.50

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Solution

The fourth proportional to 30,443.50, 45,665.34 and 11,975.50 is: 17,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.50 : 45,665.34 = 11,975.50 : x
  2. Step 2: Convert to fraction form
    30,443.50/45,665.34 = 11,975.50/x
  3. Step 3: Cross multiply
    30,443.50x = 45,665.34 × 11,975.50
  4. Step 4: Simplify right side
    30,443.50x = 546,865,279.17
  5. Step 5: Solve for x
    x = 546,865,279.17/30,443.50
  6. Step 6: Final answer
    x = 17,963.29

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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.