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Finding the Fourth Proportional to 70,142.76, 96,817.14 and 44,649.90

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Solution

The fourth proportional to 70,142.76, 96,817.14 and 44,649.90 is: 61,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.76 : 96,817.14 = 44,649.90 : x
  2. Step 2: Convert to fraction form
    70,142.76/96,817.14 = 44,649.90/x
  3. Step 3: Cross multiply
    70,142.76x = 96,817.14 × 44,649.90
  4. Step 4: Simplify right side
    70,142.76x = 4,322,875,619.29
  5. Step 5: Solve for x
    x = 4,322,875,619.29/70,142.76
  6. Step 6: Final answer
    x = 61,629.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.