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Finding the Fourth Proportional to 70,819.58, 106,294.98 and 35,783.84

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Solution

The fourth proportional to 70,819.58, 106,294.98 and 35,783.84 is: 53,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.58 : 106,294.98 = 35,783.84 : x
  2. Step 2: Convert to fraction form
    70,819.58/106,294.98 = 35,783.84/x
  3. Step 3: Cross multiply
    70,819.58x = 106,294.98 × 35,783.84
  4. Step 4: Simplify right side
    70,819.58x = 3,803,642,557.12
  5. Step 5: Solve for x
    x = 3,803,642,557.12/70,819.58
  6. Step 6: Final answer
    x = 53,708.91

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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.