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Finding the Fourth Proportional to 65,233.86, 97,819.94 and 25,271.56

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Solution

The fourth proportional to 65,233.86, 97,819.94 and 25,271.56 is: 37,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.86 : 97,819.94 = 25,271.56 : x
  2. Step 2: Convert to fraction form
    65,233.86/97,819.94 = 25,271.56/x
  3. Step 3: Cross multiply
    65,233.86x = 97,819.94 × 25,271.56
  4. Step 4: Simplify right side
    65,233.86x = 2,472,062,526.21
  5. Step 5: Solve for x
    x = 2,472,062,526.21/65,233.86
  6. Step 6: Final answer
    x = 37,895.39

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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.