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Finding the Fourth Proportional to 71,642.72, 98,858 and 39,809.36

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Solution

The fourth proportional to 71,642.72, 98,858 and 39,809.36 is: 54,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.72 : 98,858 = 39,809.36 : x
  2. Step 2: Convert to fraction form
    71,642.72/98,858 = 39,809.36/x
  3. Step 3: Cross multiply
    71,642.72x = 98,858 × 39,809.36
  4. Step 4: Simplify right side
    71,642.72x = 3,935,473,710.88
  5. Step 5: Solve for x
    x = 3,935,473,710.88/71,642.72
  6. Step 6: Final answer
    x = 54,931.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.