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Finding the Fourth Proportional to 70,880.94, 106,350.69 and 35,830.86

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Solution

The fourth proportional to 70,880.94, 106,350.69 and 35,830.86 is: 53,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,880.94 : 106,350.69 = 35,830.86 : x
  2. Step 2: Convert to fraction form
    70,880.94/106,350.69 = 35,830.86/x
  3. Step 3: Cross multiply
    70,880.94x = 106,350.69 × 35,830.86
  4. Step 4: Simplify right side
    70,880.94x = 3,810,636,684.29
  5. Step 5: Solve for x
    x = 3,810,636,684.29/70,880.94
  6. Step 6: Final answer
    x = 53,761.09

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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.