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Finding the Fourth Proportional to 107,006.94, 160,498.26 and 28,127.32

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Solution

The fourth proportional to 107,006.94, 160,498.26 and 28,127.32 is: 42,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,006.94 : 160,498.26 = 28,127.32 : x
  2. Step 2: Convert to fraction form
    107,006.94/160,498.26 = 28,127.32/x
  3. Step 3: Cross multiply
    107,006.94x = 160,498.26 × 28,127.32
  4. Step 4: Simplify right side
    107,006.94x = 4,514,385,517.22
  5. Step 5: Solve for x
    x = 4,514,385,517.22/107,006.94
  6. Step 6: Final answer
    x = 42,187.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.