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Finding the Fourth Proportional to 53,462, 80,182.68 and 16,026.80

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Solution

The fourth proportional to 53,462, 80,182.68 and 16,026.80 is: 24,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462 : 80,182.68 = 16,026.80 : x
  2. Step 2: Convert to fraction form
    53,462/80,182.68 = 16,026.80/x
  3. Step 3: Cross multiply
    53,462x = 80,182.68 × 16,026.80
  4. Step 4: Simplify right side
    53,462x = 1,285,071,775.82
  5. Step 5: Solve for x
    x = 1,285,071,775.82/53,462
  6. Step 6: Final answer
    x = 24,037.11

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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.