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Finding the Fourth Proportional to 53,542.32, 73,922.16 and 34,430.64

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Solution

The fourth proportional to 53,542.32, 73,922.16 and 34,430.64 is: 47,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542.32 : 73,922.16 = 34,430.64 : x
  2. Step 2: Convert to fraction form
    53,542.32/73,922.16 = 34,430.64/x
  3. Step 3: Cross multiply
    53,542.32x = 73,922.16 × 34,430.64
  4. Step 4: Simplify right side
    53,542.32x = 2,545,187,278.98
  5. Step 5: Solve for x
    x = 2,545,187,278.98/53,542.32
  6. Step 6: Final answer
    x = 47,535.99

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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.