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Finding the Fourth Proportional to 30,862.60, 42,594.42 and 17,438.20

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Solution

The fourth proportional to 30,862.60, 42,594.42 and 17,438.20 is: 24,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.60 : 42,594.42 = 17,438.20 : x
  2. Step 2: Convert to fraction form
    30,862.60/42,594.42 = 17,438.20/x
  3. Step 3: Cross multiply
    30,862.60x = 42,594.42 × 17,438.20
  4. Step 4: Simplify right side
    30,862.60x = 742,770,014.84
  5. Step 5: Solve for x
    x = 742,770,014.84/30,862.60
  6. Step 6: Final answer
    x = 24,066.99

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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.