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Finding the Fourth Proportional to 70,893.51, 97,824.15 and 40,674.84

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Solution

The fourth proportional to 70,893.51, 97,824.15 and 40,674.84 is: 56,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,893.51 : 97,824.15 = 40,674.84 : x
  2. Step 2: Convert to fraction form
    70,893.51/97,824.15 = 40,674.84/x
  3. Step 3: Cross multiply
    70,893.51x = 97,824.15 × 40,674.84
  4. Step 4: Simplify right side
    70,893.51x = 3,978,981,649.39
  5. Step 5: Solve for x
    x = 3,978,981,649.39/70,893.51
  6. Step 6: Final answer
    x = 56,126.18

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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.