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Finding the Fourth Proportional to 70,402.82, 97,158.57 and 40,193.06

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Solution

The fourth proportional to 70,402.82, 97,158.57 and 40,193.06 is: 55,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.82 : 97,158.57 = 40,193.06 : x
  2. Step 2: Convert to fraction form
    70,402.82/97,158.57 = 40,193.06/x
  3. Step 3: Cross multiply
    70,402.82x = 97,158.57 × 40,193.06
  4. Step 4: Simplify right side
    70,402.82x = 3,905,100,233.52
  5. Step 5: Solve for x
    x = 3,905,100,233.52/70,402.82
  6. Step 6: Final answer
    x = 55,467.95

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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.