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Finding the Fourth Proportional to 57,053.72, 85,590.78 and 19,604.12

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Solution

The fourth proportional to 57,053.72, 85,590.78 and 19,604.12 is: 29,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053.72 : 85,590.78 = 19,604.12 : x
  2. Step 2: Convert to fraction form
    57,053.72/85,590.78 = 19,604.12/x
  3. Step 3: Cross multiply
    57,053.72x = 85,590.78 × 19,604.12
  4. Step 4: Simplify right side
    57,053.72x = 1,677,931,922.01
  5. Step 5: Solve for x
    x = 1,677,931,922.01/57,053.72
  6. Step 6: Final answer
    x = 29,409.68

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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.