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Finding the Fourth Proportional to 57,058.25, 85,566.39 and 19,607.69

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Solution

The fourth proportional to 57,058.25, 85,566.39 and 19,607.69 is: 29,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.25 : 85,566.39 = 19,607.69 : x
  2. Step 2: Convert to fraction form
    57,058.25/85,566.39 = 19,607.69/x
  3. Step 3: Cross multiply
    57,058.25x = 85,566.39 × 19,607.69
  4. Step 4: Simplify right side
    57,058.25x = 1,677,759,151.50
  5. Step 5: Solve for x
    x = 1,677,759,151.50/57,058.25
  6. Step 6: Final answer
    x = 29,404.32

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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.