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Finding the Fourth Proportional to 53,033.80, 73,185.24 and 28,834

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Solution

The fourth proportional to 53,033.80, 73,185.24 and 28,834 is: 39,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,033.80 : 73,185.24 = 28,834 : x
  2. Step 2: Convert to fraction form
    53,033.80/73,185.24 = 28,834/x
  3. Step 3: Cross multiply
    53,033.80x = 73,185.24 × 28,834
  4. Step 4: Simplify right side
    53,033.80x = 2,110,223,210.16
  5. Step 5: Solve for x
    x = 2,110,223,210.16/53,033.80
  6. Step 6: Final answer
    x = 39,790.16

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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.