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Finding the Fourth Proportional to 30,820.68, 42,531.48 and 17,392.32

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Solution

The fourth proportional to 30,820.68, 42,531.48 and 17,392.32 is: 24,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.68 : 42,531.48 = 17,392.32 : x
  2. Step 2: Convert to fraction form
    30,820.68/42,531.48 = 17,392.32/x
  3. Step 3: Cross multiply
    30,820.68x = 42,531.48 × 17,392.32
  4. Step 4: Simplify right side
    30,820.68x = 739,721,110.23
  5. Step 5: Solve for x
    x = 739,721,110.23/30,820.68
  6. Step 6: Final answer
    x = 24,000.80

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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.