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Finding the Fourth Proportional to 30,122.16, 45,148.56 and 16,242

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Solution

The fourth proportional to 30,122.16, 45,148.56 and 16,242 is: 24,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.16 : 45,148.56 = 16,242 : x
  2. Step 2: Convert to fraction form
    30,122.16/45,148.56 = 16,242/x
  3. Step 3: Cross multiply
    30,122.16x = 45,148.56 × 16,242
  4. Step 4: Simplify right side
    30,122.16x = 733,302,911.52
  5. Step 5: Solve for x
    x = 733,302,911.52/30,122.16
  6. Step 6: Final answer
    x = 24,344.30

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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.