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Finding the Fourth Proportional to 30,971.52, 42,731.28 and 17,540.64

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Solution

The fourth proportional to 30,971.52, 42,731.28 and 17,540.64 is: 24,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.52 : 42,731.28 = 17,540.64 : x
  2. Step 2: Convert to fraction form
    30,971.52/42,731.28 = 17,540.64/x
  3. Step 3: Cross multiply
    30,971.52x = 42,731.28 × 17,540.64
  4. Step 4: Simplify right side
    30,971.52x = 749,533,999.22
  5. Step 5: Solve for x
    x = 749,533,999.22/30,971.52
  6. Step 6: Final answer
    x = 24,200.75

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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.