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Finding the Fourth Proportional to 53,542.64, 73,923.52 and 34,431

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Solution

The fourth proportional to 53,542.64, 73,923.52 and 34,431 is: 47,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542.64 : 73,923.52 = 34,431 : x
  2. Step 2: Convert to fraction form
    53,542.64/73,923.52 = 34,431/x
  3. Step 3: Cross multiply
    53,542.64x = 73,923.52 × 34,431
  4. Step 4: Simplify right side
    53,542.64x = 2,545,260,717.12
  5. Step 5: Solve for x
    x = 2,545,260,717.12/53,542.64
  6. Step 6: Final answer
    x = 47,537.08

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