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Finding the Fourth Proportional to 37,146, 55,733.52 and 16,354.92

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Solution

The fourth proportional to 37,146, 55,733.52 and 16,354.92 is: 24,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,146 : 55,733.52 = 16,354.92 : x
  2. Step 2: Convert to fraction form
    37,146/55,733.52 = 16,354.92/x
  3. Step 3: Cross multiply
    37,146x = 55,733.52 × 16,354.92
  4. Step 4: Simplify right side
    37,146x = 911,517,260.92
  5. Step 5: Solve for x
    x = 911,517,260.92/37,146
  6. Step 6: Final answer
    x = 24,538.77

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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.