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Finding the Fourth Proportional to 53,786.50, 80,684.01 and 16,349.82

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Solution

The fourth proportional to 53,786.50, 80,684.01 and 16,349.82 is: 24,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786.50 : 80,684.01 = 16,349.82 : x
  2. Step 2: Convert to fraction form
    53,786.50/80,684.01 = 16,349.82/x
  3. Step 3: Cross multiply
    53,786.50x = 80,684.01 × 16,349.82
  4. Step 4: Simplify right side
    53,786.50x = 1,319,169,040.38
  5. Step 5: Solve for x
    x = 1,319,169,040.38/53,786.50
  6. Step 6: Final answer
    x = 24,526.02

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1.5x scale

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.