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Finding the Fourth Proportional to 37,695.88, 56,214.23 and 33,037.48

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Solution

The fourth proportional to 37,695.88, 56,214.23 and 33,037.48 is: 49,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,695.88 : 56,214.23 = 33,037.48 : x
  2. Step 2: Convert to fraction form
    37,695.88/56,214.23 = 33,037.48/x
  3. Step 3: Cross multiply
    37,695.88x = 56,214.23 × 33,037.48
  4. Step 4: Simplify right side
    37,695.88x = 1,857,176,499.34
  5. Step 5: Solve for x
    x = 1,857,176,499.34/37,695.88
  6. Step 6: Final answer
    x = 49,267.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.