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Finding the Fourth Proportional to 70,506.56, 97,315.98 and 47,883.26

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Solution

The fourth proportional to 70,506.56, 97,315.98 and 47,883.26 is: 66,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.56 : 97,315.98 = 47,883.26 : x
  2. Step 2: Convert to fraction form
    70,506.56/97,315.98 = 47,883.26/x
  3. Step 3: Cross multiply
    70,506.56x = 97,315.98 × 47,883.26
  4. Step 4: Simplify right side
    70,506.56x = 4,659,806,372.49
  5. Step 5: Solve for x
    x = 4,659,806,372.49/70,506.56
  6. Step 6: Final answer
    x = 66,090.39

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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.