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Finding the Fourth Proportional to 56,643.64, 84,959.96 and 17,201.10

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Solution

The fourth proportional to 56,643.64, 84,959.96 and 17,201.10 is: 25,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643.64 : 84,959.96 = 17,201.10 : x
  2. Step 2: Convert to fraction form
    56,643.64/84,959.96 = 17,201.10/x
  3. Step 3: Cross multiply
    56,643.64x = 84,959.96 × 17,201.10
  4. Step 4: Simplify right side
    56,643.64x = 1,461,404,767.96
  5. Step 5: Solve for x
    x = 1,461,404,767.96/56,643.64
  6. Step 6: Final answer
    x = 25,799.98

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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.