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Finding the Fourth Proportional to 32,004.39, 44,165.93 and 17,857.25

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Solution

The fourth proportional to 32,004.39, 44,165.93 and 17,857.25 is: 24,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.39 : 44,165.93 = 17,857.25 : x
  2. Step 2: Convert to fraction form
    32,004.39/44,165.93 = 17,857.25/x
  3. Step 3: Cross multiply
    32,004.39x = 44,165.93 × 17,857.25
  4. Step 4: Simplify right side
    32,004.39x = 788,681,743.38
  5. Step 5: Solve for x
    x = 788,681,743.38/32,004.39
  6. Step 6: Final answer
    x = 24,642.92

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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.