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Finding the Fourth Proportional to 35,798.56, 49,404.24 and 21,652

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Solution

The fourth proportional to 35,798.56, 49,404.24 and 21,652 is: 29,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.56 : 49,404.24 = 21,652 : x
  2. Step 2: Convert to fraction form
    35,798.56/49,404.24 = 21,652/x
  3. Step 3: Cross multiply
    35,798.56x = 49,404.24 × 21,652
  4. Step 4: Simplify right side
    35,798.56x = 1,069,700,604.48
  5. Step 5: Solve for x
    x = 1,069,700,604.48/35,798.56
  6. Step 6: Final answer
    x = 29,881.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.