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Finding the Fourth Proportional to 101,895.27, 152,851.10 and 38,745.60

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Solution

The fourth proportional to 101,895.27, 152,851.10 and 38,745.60 is: 58,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,895.27 : 152,851.10 = 38,745.60 : x
  2. Step 2: Convert to fraction form
    101,895.27/152,851.10 = 38,745.60/x
  3. Step 3: Cross multiply
    101,895.27x = 152,851.10 × 38,745.60
  4. Step 4: Simplify right side
    101,895.27x = 5,922,307,386.43
  5. Step 5: Solve for x
    x = 5,922,307,386.43/101,895.27
  6. Step 6: Final answer
    x = 58,121.51

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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.