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Finding the Fourth Proportional to 77,314.52, 106,692.23 and 45,485.46

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Solution

The fourth proportional to 77,314.52, 106,692.23 and 45,485.46 is: 62,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.52 : 106,692.23 = 45,485.46 : x
  2. Step 2: Convert to fraction form
    77,314.52/106,692.23 = 45,485.46/x
  3. Step 3: Cross multiply
    77,314.52x = 106,692.23 × 45,485.46
  4. Step 4: Simplify right side
    77,314.52x = 4,852,944,932.55
  5. Step 5: Solve for x
    x = 4,852,944,932.55/77,314.52
  6. Step 6: Final answer
    x = 62,768.87

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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.