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Finding the Fourth Proportional to 53,462.70, 80,194.08 and 16,026.74

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Solution

The fourth proportional to 53,462.70, 80,194.08 and 16,026.74 is: 24,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462.70 : 80,194.08 = 16,026.74 : x
  2. Step 2: Convert to fraction form
    53,462.70/80,194.08 = 16,026.74/x
  3. Step 3: Cross multiply
    53,462.70x = 80,194.08 × 16,026.74
  4. Step 4: Simplify right side
    53,462.70x = 1,285,249,669.70
  5. Step 5: Solve for x
    x = 1,285,249,669.70/53,462.70
  6. Step 6: Final answer
    x = 24,040.12

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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.