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Finding the Fourth Proportional to 30,742.83, 42,425.25 and 17,314.31

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Solution

The fourth proportional to 30,742.83, 42,425.25 and 17,314.31 is: 23,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.83 : 42,425.25 = 17,314.31 : x
  2. Step 2: Convert to fraction form
    30,742.83/42,425.25 = 17,314.31/x
  3. Step 3: Cross multiply
    30,742.83x = 42,425.25 × 17,314.31
  4. Step 4: Simplify right side
    30,742.83x = 734,563,971.46
  5. Step 5: Solve for x
    x = 734,563,971.46/30,742.83
  6. Step 6: Final answer
    x = 23,893.83

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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.