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Finding the Fourth Proportional to 101,538.50, 152,395.22 and 48,992.18

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Solution

The fourth proportional to 101,538.50, 152,395.22 and 48,992.18 is: 73,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538.50 : 152,395.22 = 48,992.18 : x
  2. Step 2: Convert to fraction form
    101,538.50/152,395.22 = 48,992.18/x
  3. Step 3: Cross multiply
    101,538.50x = 152,395.22 × 48,992.18
  4. Step 4: Simplify right side
    101,538.50x = 7,466,173,409.88
  5. Step 5: Solve for x
    x = 7,466,173,409.88/101,538.50
  6. Step 6: Final answer
    x = 73,530.47

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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.