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Finding the Fourth Proportional to 65,162.07, 97,756.07 and 23,053.41

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Solution

The fourth proportional to 65,162.07, 97,756.07 and 23,053.41 is: 34,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,162.07 : 97,756.07 = 23,053.41 : x
  2. Step 2: Convert to fraction form
    65,162.07/97,756.07 = 23,053.41/x
  3. Step 3: Cross multiply
    65,162.07x = 97,756.07 × 23,053.41
  4. Step 4: Simplify right side
    65,162.07x = 2,253,610,646.43
  5. Step 5: Solve for x
    x = 2,253,610,646.43/65,162.07
  6. Step 6: Final answer
    x = 34,584.70

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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.