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Finding the Fourth Proportional to 35,454.64, 53,181.79 and 10,494.79

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Solution

The fourth proportional to 35,454.64, 53,181.79 and 10,494.79 is: 15,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454.64 : 53,181.79 = 10,494.79 : x
  2. Step 2: Convert to fraction form
    35,454.64/53,181.79 = 10,494.79/x
  3. Step 3: Cross multiply
    35,454.64x = 53,181.79 × 10,494.79
  4. Step 4: Simplify right side
    35,454.64x = 558,131,717.87
  5. Step 5: Solve for x
    x = 558,131,717.87/35,454.64
  6. Step 6: Final answer
    x = 15,742.13

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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.