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Finding the Fourth Proportional to 57,097.72, 85,646.58 and 17,653.96

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Solution

The fourth proportional to 57,097.72, 85,646.58 and 17,653.96 is: 26,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097.72 : 85,646.58 = 17,653.96 : x
  2. Step 2: Convert to fraction form
    57,097.72/85,646.58 = 17,653.96/x
  3. Step 3: Cross multiply
    57,097.72x = 85,646.58 × 17,653.96
  4. Step 4: Simplify right side
    57,097.72x = 1,512,001,297.46
  5. Step 5: Solve for x
    x = 1,512,001,297.46/57,097.72
  6. Step 6: Final answer
    x = 26,480.94

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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.