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Finding the Fourth Proportional to 96,858.78, 145,296.52 and 26,738.10

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Solution

The fourth proportional to 96,858.78, 145,296.52 and 26,738.10 is: 40,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,858.78 : 145,296.52 = 26,738.10 : x
  2. Step 2: Convert to fraction form
    96,858.78/145,296.52 = 26,738.10/x
  3. Step 3: Cross multiply
    96,858.78x = 145,296.52 × 26,738.10
  4. Step 4: Simplify right side
    96,858.78x = 3,884,952,881.41
  5. Step 5: Solve for x
    x = 3,884,952,881.41/96,858.78
  6. Step 6: Final answer
    x = 40,109.46

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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.