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Finding the Fourth Proportional to 32,103.30, 44,303.90 and 19,841.43

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Solution

The fourth proportional to 32,103.30, 44,303.90 and 19,841.43 is: 27,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.30 : 44,303.90 = 19,841.43 : x
  2. Step 2: Convert to fraction form
    32,103.30/44,303.90 = 19,841.43/x
  3. Step 3: Cross multiply
    32,103.30x = 44,303.90 × 19,841.43
  4. Step 4: Simplify right side
    32,103.30x = 879,052,631.37
  5. Step 5: Solve for x
    x = 879,052,631.37/32,103.30
  6. Step 6: Final answer
    x = 27,382.00

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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.