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Finding the Fourth Proportional to 35,880.24, 53,829 and 11,256.24

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Solution

The fourth proportional to 35,880.24, 53,829 and 11,256.24 is: 16,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.24 : 53,829 = 11,256.24 : x
  2. Step 2: Convert to fraction form
    35,880.24/53,829 = 11,256.24/x
  3. Step 3: Cross multiply
    35,880.24x = 53,829 × 11,256.24
  4. Step 4: Simplify right side
    35,880.24x = 605,912,142.96
  5. Step 5: Solve for x
    x = 605,912,142.96/35,880.24
  6. Step 6: Final answer
    x = 16,887.07

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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.