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Finding the Fourth Proportional to 57,410.74, 86,083.71 and 17,957.26

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Solution

The fourth proportional to 57,410.74, 86,083.71 and 17,957.26 is: 26,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.74 : 86,083.71 = 17,957.26 : x
  2. Step 2: Convert to fraction form
    57,410.74/86,083.71 = 17,957.26/x
  3. Step 3: Cross multiply
    57,410.74x = 86,083.71 × 17,957.26
  4. Step 4: Simplify right side
    57,410.74x = 1,545,827,562.23
  5. Step 5: Solve for x
    x = 1,545,827,562.23/57,410.74
  6. Step 6: Final answer
    x = 26,925.76

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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.