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Finding the Fourth Proportional to 30,858.52, 42,583.96 and 17,431.16

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Solution

The fourth proportional to 30,858.52, 42,583.96 and 17,431.16 is: 24,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.52 : 42,583.96 = 17,431.16 : x
  2. Step 2: Convert to fraction form
    30,858.52/42,583.96 = 17,431.16/x
  3. Step 3: Cross multiply
    30,858.52x = 42,583.96 × 17,431.16
  4. Step 4: Simplify right side
    30,858.52x = 742,287,820.19
  5. Step 5: Solve for x
    x = 742,287,820.19/30,858.52
  6. Step 6: Final answer
    x = 24,054.55

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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.