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Finding the Fourth Proportional to 37,671.65, 56,733.06 and 34,308.62

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Solution

The fourth proportional to 37,671.65, 56,733.06 and 34,308.62 is: 51,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671.65 : 56,733.06 = 34,308.62 : x
  2. Step 2: Convert to fraction form
    37,671.65/56,733.06 = 34,308.62/x
  3. Step 3: Cross multiply
    37,671.65x = 56,733.06 × 34,308.62
  4. Step 4: Simplify right side
    37,671.65x = 1,946,432,825.43
  5. Step 5: Solve for x
    x = 1,946,432,825.43/37,671.65
  6. Step 6: Final answer
    x = 51,668.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.