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Finding the Fourth Proportional to 57,442.76, 86,111.04 and 30,807.26

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Solution

The fourth proportional to 57,442.76, 86,111.04 and 30,807.26 is: 46,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.76 : 86,111.04 = 30,807.26 : x
  2. Step 2: Convert to fraction form
    57,442.76/86,111.04 = 30,807.26/x
  3. Step 3: Cross multiply
    57,442.76x = 86,111.04 × 30,807.26
  4. Step 4: Simplify right side
    57,442.76x = 2,652,845,198.15
  5. Step 5: Solve for x
    x = 2,652,845,198.15/57,442.76
  6. Step 6: Final answer
    x = 46,182.41

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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.