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Finding the Fourth Proportional to 65,342.92, 97,969.02 and 35,774.68

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Solution

The fourth proportional to 65,342.92, 97,969.02 and 35,774.68 is: 53,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.92 : 97,969.02 = 35,774.68 : x
  2. Step 2: Convert to fraction form
    65,342.92/97,969.02 = 35,774.68/x
  3. Step 3: Cross multiply
    65,342.92x = 97,969.02 × 35,774.68
  4. Step 4: Simplify right side
    65,342.92x = 3,504,810,340.41
  5. Step 5: Solve for x
    x = 3,504,810,340.41/65,342.92
  6. Step 6: Final answer
    x = 53,637.19

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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.