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Finding the Fourth Proportional to 53,786, 80,683.26 and 16,349.32

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Solution

The fourth proportional to 53,786, 80,683.26 and 16,349.32 is: 24,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786 : 80,683.26 = 16,349.32 : x
  2. Step 2: Convert to fraction form
    53,786/80,683.26 = 16,349.32/x
  3. Step 3: Cross multiply
    53,786x = 80,683.26 × 16,349.32
  4. Step 4: Simplify right side
    53,786x = 1,319,116,436.38
  5. Step 5: Solve for x
    x = 1,319,116,436.38/53,786
  6. Step 6: Final answer
    x = 24,525.27

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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.