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Finding the Fourth Proportional to 73,823.76, 110,657.88 and 36,810

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Solution

The fourth proportional to 73,823.76, 110,657.88 and 36,810 is: 55,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.76 : 110,657.88 = 36,810 : x
  2. Step 2: Convert to fraction form
    73,823.76/110,657.88 = 36,810/x
  3. Step 3: Cross multiply
    73,823.76x = 110,657.88 × 36,810
  4. Step 4: Simplify right side
    73,823.76x = 4,073,316,562.80
  5. Step 5: Solve for x
    x = 4,073,316,562.80/73,823.76
  6. Step 6: Final answer
    x = 55,176.23

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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.