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Finding the Fourth Proportional to 75,005.09, 112,563 and 35,562.32

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Solution

The fourth proportional to 75,005.09, 112,563 and 35,562.32 is: 53,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005.09 : 112,563 = 35,562.32 : x
  2. Step 2: Convert to fraction form
    75,005.09/112,563 = 35,562.32/x
  3. Step 3: Cross multiply
    75,005.09x = 112,563 × 35,562.32
  4. Step 4: Simplify right side
    75,005.09x = 4,003,000,863.35
  5. Step 5: Solve for x
    x = 4,003,000,863.35/75,005.09
  6. Step 6: Final answer
    x = 53,369.73

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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.