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Finding the Fourth Proportional to 37,573, 56,368.14 and 12,949

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Solution

The fourth proportional to 37,573, 56,368.14 and 12,949 is: 19,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 56,368.14 = 12,949 : x
  2. Step 2: Convert to fraction form
    37,573/56,368.14 = 12,949/x
  3. Step 3: Cross multiply
    37,573x = 56,368.14 × 12,949
  4. Step 4: Simplify right side
    37,573x = 729,911,044.86
  5. Step 5: Solve for x
    x = 729,911,044.86/37,573
  6. Step 6: Final answer
    x = 19,426.48

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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.