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Finding the Fourth Proportional to 54,463.88, 81,637.74 and 31,039.88

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Solution

The fourth proportional to 54,463.88, 81,637.74 and 31,039.88 is: 46,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,463.88 : 81,637.74 = 31,039.88 : x
  2. Step 2: Convert to fraction form
    54,463.88/81,637.74 = 31,039.88/x
  3. Step 3: Cross multiply
    54,463.88x = 81,637.74 × 31,039.88
  4. Step 4: Simplify right side
    54,463.88x = 2,534,025,653.07
  5. Step 5: Solve for x
    x = 2,534,025,653.07/54,463.88
  6. Step 6: Final answer
    x = 46,526.72

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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.