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Finding the Fourth Proportional to 57,393.86, 86,124.80 and 31,098.02

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Solution

The fourth proportional to 57,393.86, 86,124.80 and 31,098.02 is: 46,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393.86 : 86,124.80 = 31,098.02 : x
  2. Step 2: Convert to fraction form
    57,393.86/86,124.80 = 31,098.02/x
  3. Step 3: Cross multiply
    57,393.86x = 86,124.80 × 31,098.02
  4. Step 4: Simplify right side
    57,393.86x = 2,678,310,400.02
  5. Step 5: Solve for x
    x = 2,678,310,400.02/57,393.86
  6. Step 6: Final answer
    x = 46,665.46

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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.