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Finding the Fourth Proportional to 70,383.28, 97,130.51 and 40,168

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Solution

The fourth proportional to 70,383.28, 97,130.51 and 40,168 is: 55,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.28 : 97,130.51 = 40,168 : x
  2. Step 2: Convert to fraction form
    70,383.28/97,130.51 = 40,168/x
  3. Step 3: Cross multiply
    70,383.28x = 97,130.51 × 40,168
  4. Step 4: Simplify right side
    70,383.28x = 3,901,538,325.68
  5. Step 5: Solve for x
    x = 3,901,538,325.68/70,383.28
  6. Step 6: Final answer
    x = 55,432.74

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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.