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Finding the Fourth Proportional to 32,201.47, 44,440.31 and 17,866.00

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Solution

The fourth proportional to 32,201.47, 44,440.31 and 17,866.00 is: 24,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.47 : 44,440.31 = 17,866.00 : x
  2. Step 2: Convert to fraction form
    32,201.47/44,440.31 = 17,866.00/x
  3. Step 3: Cross multiply
    32,201.47x = 44,440.31 × 17,866.00
  4. Step 4: Simplify right side
    32,201.47x = 793,970,266.93
  5. Step 5: Solve for x
    x = 793,970,266.93/32,201.47
  6. Step 6: Final answer
    x = 24,656.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.