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Finding the Fourth Proportional to 37,967.80, 56,951.40 and 9,887.80

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Solution

The fourth proportional to 37,967.80, 56,951.40 and 9,887.80 is: 14,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,967.80 : 56,951.40 = 9,887.80 : x
  2. Step 2: Convert to fraction form
    37,967.80/56,951.40 = 9,887.80/x
  3. Step 3: Cross multiply
    37,967.80x = 56,951.40 × 9,887.80
  4. Step 4: Simplify right side
    37,967.80x = 563,124,052.92
  5. Step 5: Solve for x
    x = 563,124,052.92/37,967.80
  6. Step 6: Final answer
    x = 14,831.62

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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.