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Finding the Fourth Proportional to 77,029.97, 106,300.63 and 43,044.31

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Solution

The fourth proportional to 77,029.97, 106,300.63 and 43,044.31 is: 59,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,029.97 : 106,300.63 = 43,044.31 : x
  2. Step 2: Convert to fraction form
    77,029.97/106,300.63 = 43,044.31/x
  3. Step 3: Cross multiply
    77,029.97x = 106,300.63 × 43,044.31
  4. Step 4: Simplify right side
    77,029.97x = 4,575,637,336.53
  5. Step 5: Solve for x
    x = 4,575,637,336.53/77,029.97
  6. Step 6: Final answer
    x = 59,400.74

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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.