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Finding the Fourth Proportional to 77,100, 115,652.03 and 24,509.48

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Solution

The fourth proportional to 77,100, 115,652.03 and 24,509.48 is: 36,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100 : 115,652.03 = 24,509.48 : x
  2. Step 2: Convert to fraction form
    77,100/115,652.03 = 24,509.48/x
  3. Step 3: Cross multiply
    77,100x = 115,652.03 × 24,509.48
  4. Step 4: Simplify right side
    77,100x = 2,834,570,415.44
  5. Step 5: Solve for x
    x = 2,834,570,415.44/77,100
  6. Step 6: Final answer
    x = 36,764.86

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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.