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Finding the Fourth Proportional to 32,098.61, 44,297.03 and 17,563.67

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Solution

The fourth proportional to 32,098.61, 44,297.03 and 17,563.67 is: 24,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.61 : 44,297.03 = 17,563.67 : x
  2. Step 2: Convert to fraction form
    32,098.61/44,297.03 = 17,563.67/x
  3. Step 3: Cross multiply
    32,098.61x = 44,297.03 × 17,563.67
  4. Step 4: Simplify right side
    32,098.61x = 778,018,107.60
  5. Step 5: Solve for x
    x = 778,018,107.60/32,098.61
  6. Step 6: Final answer
    x = 24,238.38

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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.