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Finding the Fourth Proportional to 53,651.06, 80,478.27 and 25,574.16

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Solution

The fourth proportional to 53,651.06, 80,478.27 and 25,574.16 is: 38,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,651.06 : 80,478.27 = 25,574.16 : x
  2. Step 2: Convert to fraction form
    53,651.06/80,478.27 = 25,574.16/x
  3. Step 3: Cross multiply
    53,651.06x = 80,478.27 × 25,574.16
  4. Step 4: Simplify right side
    53,651.06x = 2,058,164,153.50
  5. Step 5: Solve for x
    x = 2,058,164,153.50/53,651.06
  6. Step 6: Final answer
    x = 38,362.04

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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.