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Finding the Fourth Proportional to 37,472, 51,688.74 and 24,720.64

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Solution

The fourth proportional to 37,472, 51,688.74 and 24,720.64 is: 34,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472 : 51,688.74 = 24,720.64 : x
  2. Step 2: Convert to fraction form
    37,472/51,688.74 = 24,720.64/x
  3. Step 3: Cross multiply
    37,472x = 51,688.74 × 24,720.64
  4. Step 4: Simplify right side
    37,472x = 1,277,778,733.59
  5. Step 5: Solve for x
    x = 1,277,778,733.59/37,472
  6. Step 6: Final answer
    x = 34,099.56

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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.