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Finding the Fourth Proportional to 69,895.38, 96,457.86 and 39,682.02

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Solution

The fourth proportional to 69,895.38, 96,457.86 and 39,682.02 is: 54,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,895.38 : 96,457.86 = 39,682.02 : x
  2. Step 2: Convert to fraction form
    69,895.38/96,457.86 = 39,682.02/x
  3. Step 3: Cross multiply
    69,895.38x = 96,457.86 × 39,682.02
  4. Step 4: Simplify right side
    69,895.38x = 3,827,642,729.68
  5. Step 5: Solve for x
    x = 3,827,642,729.68/69,895.38
  6. Step 6: Final answer
    x = 54,762.46

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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.