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Finding the Fourth Proportional to 71,665.16, 98,896.02 and 39,835.40

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Solution

The fourth proportional to 71,665.16, 98,896.02 and 39,835.40 is: 54,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,665.16 : 98,896.02 = 39,835.40 : x
  2. Step 2: Convert to fraction form
    71,665.16/98,896.02 = 39,835.40/x
  3. Step 3: Cross multiply
    71,665.16x = 98,896.02 × 39,835.40
  4. Step 4: Simplify right side
    71,665.16x = 3,939,562,515.11
  5. Step 5: Solve for x
    x = 3,939,562,515.11/71,665.16
  6. Step 6: Final answer
    x = 54,971.80

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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.