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Finding the Fourth Proportional to 30,142.69, 45,241.94 and 15,362.62

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Solution

The fourth proportional to 30,142.69, 45,241.94 and 15,362.62 is: 23,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.69 : 45,241.94 = 15,362.62 : x
  2. Step 2: Convert to fraction form
    30,142.69/45,241.94 = 15,362.62/x
  3. Step 3: Cross multiply
    30,142.69x = 45,241.94 × 15,362.62
  4. Step 4: Simplify right side
    30,142.69x = 695,034,657.58
  5. Step 5: Solve for x
    x = 695,034,657.58/30,142.69
  6. Step 6: Final answer
    x = 23,058.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.