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Finding the Fourth Proportional to 25,704, 35,478 and 14,532.48

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Solution

The fourth proportional to 25,704, 35,478 and 14,532.48 is: 20,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 35,478 = 14,532.48 : x
  2. Step 2: Convert to fraction form
    25,704/35,478 = 14,532.48/x
  3. Step 3: Cross multiply
    25,704x = 35,478 × 14,532.48
  4. Step 4: Simplify right side
    25,704x = 515,583,325.44
  5. Step 5: Solve for x
    x = 515,583,325.44/25,704
  6. Step 6: Final answer
    x = 20,058.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.