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Finding the Fourth Proportional to 70,684.92, 106,051.68 and 35,649.18

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Solution

The fourth proportional to 70,684.92, 106,051.68 and 35,649.18 is: 53,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,684.92 : 106,051.68 = 35,649.18 : x
  2. Step 2: Convert to fraction form
    70,684.92/106,051.68 = 35,649.18/x
  3. Step 3: Cross multiply
    70,684.92x = 106,051.68 × 35,649.18
  4. Step 4: Simplify right side
    70,684.92x = 3,780,655,429.62
  5. Step 5: Solve for x
    x = 3,780,655,429.62/70,684.92
  6. Step 6: Final answer
    x = 53,486.03

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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.