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Finding the Fourth Proportional to 32,892.30, 49,025.77 and 31,024.04

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Solution

The fourth proportional to 32,892.30, 49,025.77 and 31,024.04 is: 46,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.30 : 49,025.77 = 31,024.04 : x
  2. Step 2: Convert to fraction form
    32,892.30/49,025.77 = 31,024.04/x
  3. Step 3: Cross multiply
    32,892.30x = 49,025.77 × 31,024.04
  4. Step 4: Simplify right side
    32,892.30x = 1,520,977,126.82
  5. Step 5: Solve for x
    x = 1,520,977,126.82/32,892.30
  6. Step 6: Final answer
    x = 46,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.