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Finding the Fourth Proportional to 29,483.52, 44,213.76 and 13,056

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Solution

The fourth proportional to 29,483.52, 44,213.76 and 13,056 is: 19,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,483.52 : 44,213.76 = 13,056 : x
  2. Step 2: Convert to fraction form
    29,483.52/44,213.76 = 13,056/x
  3. Step 3: Cross multiply
    29,483.52x = 44,213.76 × 13,056
  4. Step 4: Simplify right side
    29,483.52x = 577,254,850.56
  5. Step 5: Solve for x
    x = 577,254,850.56/29,483.52
  6. Step 6: Final answer
    x = 19,578.90

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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.