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Finding the Fourth Proportional to 53,760.53, 74,181.38 and 31,095

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Solution

The fourth proportional to 53,760.53, 74,181.38 and 31,095 is: 42,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760.53 : 74,181.38 = 31,095 : x
  2. Step 2: Convert to fraction form
    53,760.53/74,181.38 = 31,095/x
  3. Step 3: Cross multiply
    53,760.53x = 74,181.38 × 31,095
  4. Step 4: Simplify right side
    53,760.53x = 2,306,669,855.63
  5. Step 5: Solve for x
    x = 2,306,669,855.63/53,760.53
  6. Step 6: Final answer
    x = 42,906.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.