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Finding the Fourth Proportional to 53,857.91, 80,784.03 and 16,417.08

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Solution

The fourth proportional to 53,857.91, 80,784.03 and 16,417.08 is: 24,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.91 : 80,784.03 = 16,417.08 : x
  2. Step 2: Convert to fraction form
    53,857.91/80,784.03 = 16,417.08/x
  3. Step 3: Cross multiply
    53,857.91x = 80,784.03 × 16,417.08
  4. Step 4: Simplify right side
    53,857.91x = 1,326,237,944.80
  5. Step 5: Solve for x
    x = 1,326,237,944.80/53,857.91
  6. Step 6: Final answer
    x = 24,624.76

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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.