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Finding the Fourth Proportional to 57,854.26, 86,830.53 and 41,254.93

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Solution

The fourth proportional to 57,854.26, 86,830.53 and 41,254.93 is: 61,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,854.26 : 86,830.53 = 41,254.93 : x
  2. Step 2: Convert to fraction form
    57,854.26/86,830.53 = 41,254.93/x
  3. Step 3: Cross multiply
    57,854.26x = 86,830.53 × 41,254.93
  4. Step 4: Simplify right side
    57,854.26x = 3,582,187,437.01
  5. Step 5: Solve for x
    x = 3,582,187,437.01/57,854.26
  6. Step 6: Final answer
    x = 61,917.44

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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.