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Finding the Fourth Proportional to 70,412.26, 97,132.62 and 47,743.60

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Solution

The fourth proportional to 70,412.26, 97,132.62 and 47,743.60 is: 65,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,412.26 : 97,132.62 = 47,743.60 : x
  2. Step 2: Convert to fraction form
    70,412.26/97,132.62 = 47,743.60/x
  3. Step 3: Cross multiply
    70,412.26x = 97,132.62 × 47,743.60
  4. Step 4: Simplify right side
    70,412.26x = 4,637,460,956.23
  5. Step 5: Solve for x
    x = 4,637,460,956.23/70,412.26
  6. Step 6: Final answer
    x = 65,861.56

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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.