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Finding the Fourth Proportional to 57,097.47, 85,646.22 and 17,653.71

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Solution

The fourth proportional to 57,097.47, 85,646.22 and 17,653.71 is: 26,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097.47 : 85,646.22 = 17,653.71 : x
  2. Step 2: Convert to fraction form
    57,097.47/85,646.22 = 17,653.71/x
  3. Step 3: Cross multiply
    57,097.47x = 85,646.22 × 17,653.71
  4. Step 4: Simplify right side
    57,097.47x = 1,511,973,530.48
  5. Step 5: Solve for x
    x = 1,511,973,530.48/57,097.47
  6. Step 6: Final answer
    x = 26,480.57

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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.