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Finding the Fourth Proportional to 37,831.20, 56,746.80 and 33,748.80

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Solution

The fourth proportional to 37,831.20, 56,746.80 and 33,748.80 is: 50,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831.20 : 56,746.80 = 33,748.80 : x
  2. Step 2: Convert to fraction form
    37,831.20/56,746.80 = 33,748.80/x
  3. Step 3: Cross multiply
    37,831.20x = 56,746.80 × 33,748.80
  4. Step 4: Simplify right side
    37,831.20x = 1,915,136,403.84
  5. Step 5: Solve for x
    x = 1,915,136,403.84/37,831.20
  6. Step 6: Final answer
    x = 50,623.20

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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.