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Finding the Fourth Proportional to 37,472, 56,117.76 and 20,792.48

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Solution

The fourth proportional to 37,472, 56,117.76 and 20,792.48 is: 31,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472 : 56,117.76 = 20,792.48 : x
  2. Step 2: Convert to fraction form
    37,472/56,117.76 = 20,792.48/x
  3. Step 3: Cross multiply
    37,472x = 56,117.76 × 20,792.48
  4. Step 4: Simplify right side
    37,472x = 1,166,827,402.44
  5. Step 5: Solve for x
    x = 1,166,827,402.44/37,472
  6. Step 6: Final answer
    x = 31,138.65

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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.