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Finding the Fourth Proportional to 70,452, 97,224 and 40,644

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Solution

The fourth proportional to 70,452, 97,224 and 40,644 is: 56,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,452 : 97,224 = 40,644 : x
  2. Step 2: Convert to fraction form
    70,452/97,224 = 40,644/x
  3. Step 3: Cross multiply
    70,452x = 97,224 × 40,644
  4. Step 4: Simplify right side
    70,452x = 3,951,572,256
  5. Step 5: Solve for x
    x = 3,951,572,256/70,452
  6. Step 6: Final answer
    x = 56,088.86

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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.