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Finding the Fourth Proportional to 30,142.94, 45,208.33 and 10,150.11

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Solution

The fourth proportional to 30,142.94, 45,208.33 and 10,150.11 is: 15,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.94 : 45,208.33 = 10,150.11 : x
  2. Step 2: Convert to fraction form
    30,142.94/45,208.33 = 10,150.11/x
  3. Step 3: Cross multiply
    30,142.94x = 45,208.33 × 10,150.11
  4. Step 4: Simplify right side
    30,142.94x = 458,869,497.04
  5. Step 5: Solve for x
    x = 458,869,497.04/30,142.94
  6. Step 6: Final answer
    x = 15,223.12

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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.