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Finding the Fourth Proportional to 30,217.32, 45,228.93 and 16,142.16

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Solution

The fourth proportional to 30,217.32, 45,228.93 and 16,142.16 is: 24,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.32 : 45,228.93 = 16,142.16 : x
  2. Step 2: Convert to fraction form
    30,217.32/45,228.93 = 16,142.16/x
  3. Step 3: Cross multiply
    30,217.32x = 45,228.93 × 16,142.16
  4. Step 4: Simplify right side
    30,217.32x = 730,092,624.69
  5. Step 5: Solve for x
    x = 730,092,624.69/30,217.32
  6. Step 6: Final answer
    x = 24,161.40

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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.