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Finding the Fourth Proportional to 65,341.92, 97,967.52 and 35,773.68

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Solution

The fourth proportional to 65,341.92, 97,967.52 and 35,773.68 is: 53,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,341.92 : 97,967.52 = 35,773.68 : x
  2. Step 2: Convert to fraction form
    65,341.92/97,967.52 = 35,773.68/x
  3. Step 3: Cross multiply
    65,341.92x = 97,967.52 × 35,773.68
  4. Step 4: Simplify right side
    65,341.92x = 3,504,658,710.87
  5. Step 5: Solve for x
    x = 3,504,658,710.87/65,341.92
  6. Step 6: Final answer
    x = 53,635.69

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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.