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Finding the Fourth Proportional to 29,712.40, 44,564.76 and 11,242

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Solution

The fourth proportional to 29,712.40, 44,564.76 and 11,242 is: 16,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.40 : 44,564.76 = 11,242 : x
  2. Step 2: Convert to fraction form
    29,712.40/44,564.76 = 11,242/x
  3. Step 3: Cross multiply
    29,712.40x = 44,564.76 × 11,242
  4. Step 4: Simplify right side
    29,712.40x = 500,997,031.92
  5. Step 5: Solve for x
    x = 500,997,031.92/29,712.40
  6. Step 6: Final answer
    x = 16,861.55

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Why These Related Problems?

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