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Finding the Fourth Proportional to 70,414.72, 97,168.32 and 38,577.28

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Solution

The fourth proportional to 70,414.72, 97,168.32 and 38,577.28 is: 53,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.72 : 97,168.32 = 38,577.28 : x
  2. Step 2: Convert to fraction form
    70,414.72/97,168.32 = 38,577.28/x
  3. Step 3: Cross multiply
    70,414.72x = 97,168.32 × 38,577.28
  4. Step 4: Simplify right side
    70,414.72x = 3,748,489,487.77
  5. Step 5: Solve for x
    x = 3,748,489,487.77/70,414.72
  6. Step 6: Final answer
    x = 53,234.46

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1.5x scale

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.