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Finding the Fourth Proportional to 44,292, 66,438.24 and 11,460

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Solution

The fourth proportional to 44,292, 66,438.24 and 11,460 is: 17,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,292 : 66,438.24 = 11,460 : x
  2. Step 2: Convert to fraction form
    44,292/66,438.24 = 11,460/x
  3. Step 3: Cross multiply
    44,292x = 66,438.24 × 11,460
  4. Step 4: Simplify right side
    44,292x = 761,382,230.40
  5. Step 5: Solve for x
    x = 761,382,230.40/44,292
  6. Step 6: Final answer
    x = 17,190.06

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Why These Related Problems?

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