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Finding the Fourth Proportional to 33,090.64, 49,619.44 and 10,598.52

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Solution

The fourth proportional to 33,090.64, 49,619.44 and 10,598.52 is: 15,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.64 : 49,619.44 = 10,598.52 : x
  2. Step 2: Convert to fraction form
    33,090.64/49,619.44 = 10,598.52/x
  3. Step 3: Cross multiply
    33,090.64x = 49,619.44 × 10,598.52
  4. Step 4: Simplify right side
    33,090.64x = 525,892,627.23
  5. Step 5: Solve for x
    x = 525,892,627.23/33,090.64
  6. Step 6: Final answer
    x = 15,892.49

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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.