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Finding the Fourth Proportional to 75,193.83, 112,790.82 and 22,603.31

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Solution

The fourth proportional to 75,193.83, 112,790.82 and 22,603.31 is: 33,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,193.83 : 112,790.82 = 22,603.31 : x
  2. Step 2: Convert to fraction form
    75,193.83/112,790.82 = 22,603.31/x
  3. Step 3: Cross multiply
    75,193.83x = 112,790.82 × 22,603.31
  4. Step 4: Simplify right side
    75,193.83x = 2,549,445,305.66
  5. Step 5: Solve for x
    x = 2,549,445,305.66/75,193.83
  6. Step 6: Final answer
    x = 33,904.98

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Why These Related Problems?

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