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Finding the Fourth Proportional to 70,649.94, 97,496.64 and 40,435.14

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Solution

The fourth proportional to 70,649.94, 97,496.64 and 40,435.14 is: 55,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,649.94 : 97,496.64 = 40,435.14 : x
  2. Step 2: Convert to fraction form
    70,649.94/97,496.64 = 40,435.14/x
  3. Step 3: Cross multiply
    70,649.94x = 97,496.64 × 40,435.14
  4. Step 4: Simplify right side
    70,649.94x = 3,942,290,287.93
  5. Step 5: Solve for x
    x = 3,942,290,287.93/70,649.94
  6. Step 6: Final answer
    x = 55,800.33

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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.