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Finding the Fourth Proportional to 45,738, 63,121.10 and 25,594.71

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Solution

The fourth proportional to 45,738, 63,121.10 and 25,594.71 is: 35,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,738 : 63,121.10 = 25,594.71 : x
  2. Step 2: Convert to fraction form
    45,738/63,121.10 = 25,594.71/x
  3. Step 3: Cross multiply
    45,738x = 63,121.10 × 25,594.71
  4. Step 4: Simplify right side
    45,738x = 1,615,566,249.38
  5. Step 5: Solve for x
    x = 1,615,566,249.38/45,738
  6. Step 6: Final answer
    x = 35,322.19

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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.