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Finding the Fourth Proportional to 45,657.50, 63,007.19 and 25,514.37

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Solution

The fourth proportional to 45,657.50, 63,007.19 and 25,514.37 is: 35,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,657.50 : 63,007.19 = 25,514.37 : x
  2. Step 2: Convert to fraction form
    45,657.50/63,007.19 = 25,514.37/x
  3. Step 3: Cross multiply
    45,657.50x = 63,007.19 × 25,514.37
  4. Step 4: Simplify right side
    45,657.50x = 1,607,589,058.38
  5. Step 5: Solve for x
    x = 1,607,589,058.38/45,657.50
  6. Step 6: Final answer
    x = 35,209.75

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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.