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Finding the Fourth Proportional to 77,399.51, 106,830.38 and 47,201.50

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Solution

The fourth proportional to 77,399.51, 106,830.38 and 47,201.50 is: 65,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,399.51 : 106,830.38 = 47,201.50 : x
  2. Step 2: Convert to fraction form
    77,399.51/106,830.38 = 47,201.50/x
  3. Step 3: Cross multiply
    77,399.51x = 106,830.38 × 47,201.50
  4. Step 4: Simplify right side
    77,399.51x = 5,042,553,411.41
  5. Step 5: Solve for x
    x = 5,042,553,411.41/77,399.51
  6. Step 6: Final answer
    x = 65,149.68

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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.