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Finding the Fourth Proportional to 101,405.28, 152,043.12 and 48,709.92

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Solution

The fourth proportional to 101,405.28, 152,043.12 and 48,709.92 is: 73,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,405.28 : 152,043.12 = 48,709.92 : x
  2. Step 2: Convert to fraction form
    101,405.28/152,043.12 = 48,709.92/x
  3. Step 3: Cross multiply
    101,405.28x = 152,043.12 × 48,709.92
  4. Step 4: Simplify right side
    101,405.28x = 7,406,008,211.75
  5. Step 5: Solve for x
    x = 7,406,008,211.75/101,405.28
  6. Step 6: Final answer
    x = 73,033.75

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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.