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Finding the Fourth Proportional to 70,680.50, 97,533 and 41,605.80

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Solution

The fourth proportional to 70,680.50, 97,533 and 41,605.80 is: 57,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,680.50 : 97,533 = 41,605.80 : x
  2. Step 2: Convert to fraction form
    70,680.50/97,533 = 41,605.80/x
  3. Step 3: Cross multiply
    70,680.50x = 97,533 × 41,605.80
  4. Step 4: Simplify right side
    70,680.50x = 4,057,938,491.40
  5. Step 5: Solve for x
    x = 4,057,938,491.40/70,680.50
  6. Step 6: Final answer
    x = 57,412.42

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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.