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Finding the Fourth Proportional to 32,714.38, 45,145.84 and 17,810.38

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Solution

The fourth proportional to 32,714.38, 45,145.84 and 17,810.38 is: 24,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.38 : 45,145.84 = 17,810.38 : x
  2. Step 2: Convert to fraction form
    32,714.38/45,145.84 = 17,810.38/x
  3. Step 3: Cross multiply
    32,714.38x = 45,145.84 × 17,810.38
  4. Step 4: Simplify right side
    32,714.38x = 804,064,340.09
  5. Step 5: Solve for x
    x = 804,064,340.09/32,714.38
  6. Step 6: Final answer
    x = 24,578.32

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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.