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Finding the Fourth Proportional to 65,414.34, 98,137.86 and 25,958.40

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Solution

The fourth proportional to 65,414.34, 98,137.86 and 25,958.40 is: 38,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.34 : 98,137.86 = 25,958.40 : x
  2. Step 2: Convert to fraction form
    65,414.34/98,137.86 = 25,958.40/x
  3. Step 3: Cross multiply
    65,414.34x = 98,137.86 × 25,958.40
  4. Step 4: Simplify right side
    65,414.34x = 2,547,501,825.02
  5. Step 5: Solve for x
    x = 2,547,501,825.02/65,414.34
  6. Step 6: Final answer
    x = 38,944.09

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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.