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Finding the Fourth Proportional to 45,876.42, 63,308.88 and 25,738.38

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Solution

The fourth proportional to 45,876.42, 63,308.88 and 25,738.38 is: 35,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,876.42 : 63,308.88 = 25,738.38 : x
  2. Step 2: Convert to fraction form
    45,876.42/63,308.88 = 25,738.38/x
  3. Step 3: Cross multiply
    45,876.42x = 63,308.88 × 25,738.38
  4. Step 4: Simplify right side
    45,876.42x = 1,629,468,010.81
  5. Step 5: Solve for x
    x = 1,629,468,010.81/45,876.42
  6. Step 6: Final answer
    x = 35,518.64

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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.