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Finding the Fourth Proportional to 77,245.48, 106,607.72 and 47,048.52

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Solution

The fourth proportional to 77,245.48, 106,607.72 and 47,048.52 is: 64,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.48 : 106,607.72 = 47,048.52 : x
  2. Step 2: Convert to fraction form
    77,245.48/106,607.72 = 47,048.52/x
  3. Step 3: Cross multiply
    77,245.48x = 106,607.72 × 47,048.52
  4. Step 4: Simplify right side
    77,245.48x = 5,015,735,446.57
  5. Step 5: Solve for x
    x = 5,015,735,446.57/77,245.48
  6. Step 6: Final answer
    x = 64,932.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.