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Finding the Fourth Proportional to 32,092.51, 44,284.25 and 17,750.06

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Solution

The fourth proportional to 32,092.51, 44,284.25 and 17,750.06 is: 24,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.51 : 44,284.25 = 17,750.06 : x
  2. Step 2: Convert to fraction form
    32,092.51/44,284.25 = 17,750.06/x
  3. Step 3: Cross multiply
    32,092.51x = 44,284.25 × 17,750.06
  4. Step 4: Simplify right side
    32,092.51x = 786,047,784.38
  5. Step 5: Solve for x
    x = 786,047,784.38/32,092.51
  6. Step 6: Final answer
    x = 24,493.19

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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.