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Finding the Fourth Proportional to 77,259.24, 106,631.10 and 43,725.24

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Solution

The fourth proportional to 77,259.24, 106,631.10 and 43,725.24 is: 60,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,259.24 : 106,631.10 = 43,725.24 : x
  2. Step 2: Convert to fraction form
    77,259.24/106,631.10 = 43,725.24/x
  3. Step 3: Cross multiply
    77,259.24x = 106,631.10 × 43,725.24
  4. Step 4: Simplify right side
    77,259.24x = 4,662,470,438.96
  5. Step 5: Solve for x
    x = 4,662,470,438.96/77,259.24
  6. Step 6: Final answer
    x = 60,348.39

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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.