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Finding the Fourth Proportional to 44,194.96, 66,292.44 and 25,714

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Solution

The fourth proportional to 44,194.96, 66,292.44 and 25,714 is: 38,571

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,194.96 : 66,292.44 = 25,714 : x
  2. Step 2: Convert to fraction form
    44,194.96/66,292.44 = 25,714/x
  3. Step 3: Cross multiply
    44,194.96x = 66,292.44 × 25,714
  4. Step 4: Simplify right side
    44,194.96x = 1,704,643,802.16
  5. Step 5: Solve for x
    x = 1,704,643,802.16/44,194.96
  6. Step 6: Final answer
    x = 38,571

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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.