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Finding the Fourth Proportional to 65,258.57, 97,906.23 and 25,289.63

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Solution

The fourth proportional to 65,258.57, 97,906.23 and 25,289.63 is: 37,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,258.57 : 97,906.23 = 25,289.63 : x
  2. Step 2: Convert to fraction form
    65,258.57/97,906.23 = 25,289.63/x
  3. Step 3: Cross multiply
    65,258.57x = 97,906.23 × 25,289.63
  4. Step 4: Simplify right side
    65,258.57x = 2,476,011,841.86
  5. Step 5: Solve for x
    x = 2,476,011,841.86/65,258.57
  6. Step 6: Final answer
    x = 37,941.56

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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.