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Finding the Fourth Proportional to 77,644.86, 116,614.92 and 48,267.98

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Solution

The fourth proportional to 77,644.86, 116,614.92 and 48,267.98 is: 72,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.86 : 116,614.92 = 48,267.98 : x
  2. Step 2: Convert to fraction form
    77,644.86/116,614.92 = 48,267.98/x
  3. Step 3: Cross multiply
    77,644.86x = 116,614.92 × 48,267.98
  4. Step 4: Simplify right side
    77,644.86x = 5,628,767,317.46
  5. Step 5: Solve for x
    x = 5,628,767,317.46/77,644.86
  6. Step 6: Final answer
    x = 72,493.75

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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.