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Finding the Fourth Proportional to 73,820.10, 110,730.15 and 73,382.70

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Solution

The fourth proportional to 73,820.10, 110,730.15 and 73,382.70 is: 110,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820.10 : 110,730.15 = 73,382.70 : x
  2. Step 2: Convert to fraction form
    73,820.10/110,730.15 = 73,382.70/x
  3. Step 3: Cross multiply
    73,820.10x = 110,730.15 × 73,382.70
  4. Step 4: Simplify right side
    73,820.10x = 8,125,677,378.41
  5. Step 5: Solve for x
    x = 8,125,677,378.41/73,820.10
  6. Step 6: Final answer
    x = 110,074.05

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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.