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Finding the Fourth Proportional to 70,525, 97,324.50 and 40,717

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Solution

The fourth proportional to 70,525, 97,324.50 and 40,717 is: 56,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,525 : 97,324.50 = 40,717 : x
  2. Step 2: Convert to fraction form
    70,525/97,324.50 = 40,717/x
  3. Step 3: Cross multiply
    70,525x = 97,324.50 × 40,717
  4. Step 4: Simplify right side
    70,525x = 3,962,761,666.50
  5. Step 5: Solve for x
    x = 3,962,761,666.50/70,525
  6. Step 6: Final answer
    x = 56,189.46

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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.