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Finding the Fourth Proportional to 53,470.73, 73,784.54 and 31,956.22

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Solution

The fourth proportional to 53,470.73, 73,784.54 and 31,956.22 is: 44,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470.73 : 73,784.54 = 31,956.22 : x
  2. Step 2: Convert to fraction form
    53,470.73/73,784.54 = 31,956.22/x
  3. Step 3: Cross multiply
    53,470.73x = 73,784.54 × 31,956.22
  4. Step 4: Simplify right side
    53,470.73x = 2,357,874,464.14
  5. Step 5: Solve for x
    x = 2,357,874,464.14/53,470.73
  6. Step 6: Final answer
    x = 44,096.55

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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.