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Finding the Fourth Proportional to 49,257.77, 73,903.05 and 15,978.92

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Solution

The fourth proportional to 49,257.77, 73,903.05 and 15,978.92 is: 23,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,257.77 : 73,903.05 = 15,978.92 : x
  2. Step 2: Convert to fraction form
    49,257.77/73,903.05 = 15,978.92/x
  3. Step 3: Cross multiply
    49,257.77x = 73,903.05 × 15,978.92
  4. Step 4: Simplify right side
    49,257.77x = 1,180,890,554.19
  5. Step 5: Solve for x
    x = 1,180,890,554.19/49,257.77
  6. Step 6: Final answer
    x = 23,973.69

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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.