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Finding the Fourth Proportional to 70,538.22, 97,342.69 and 40,324.21

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Solution

The fourth proportional to 70,538.22, 97,342.69 and 40,324.21 is: 55,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538.22 : 97,342.69 = 40,324.21 : x
  2. Step 2: Convert to fraction form
    70,538.22/97,342.69 = 40,324.21/x
  3. Step 3: Cross multiply
    70,538.22x = 97,342.69 × 40,324.21
  4. Step 4: Simplify right side
    70,538.22x = 3,925,266,880.57
  5. Step 5: Solve for x
    x = 3,925,266,880.57/70,538.22
  6. Step 6: Final answer
    x = 55,647.38

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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.