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Finding the Fourth Proportional to 27,411.92, 37,822.02 and 16,080.82

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Solution

The fourth proportional to 27,411.92, 37,822.02 and 16,080.82 is: 22,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.92 : 37,822.02 = 16,080.82 : x
  2. Step 2: Convert to fraction form
    27,411.92/37,822.02 = 16,080.82/x
  3. Step 3: Cross multiply
    27,411.92x = 37,822.02 × 16,080.82
  4. Step 4: Simplify right side
    27,411.92x = 608,209,095.66
  5. Step 5: Solve for x
    x = 608,209,095.66/27,411.92
  6. Step 6: Final answer
    x = 22,187.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.