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Finding the Fourth Proportional to 85,172.44, 117,538.14 and 47,448.04

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Solution

The fourth proportional to 85,172.44, 117,538.14 and 47,448.04 is: 65,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172.44 : 117,538.14 = 47,448.04 : x
  2. Step 2: Convert to fraction form
    85,172.44/117,538.14 = 47,448.04/x
  3. Step 3: Cross multiply
    85,172.44x = 117,538.14 × 47,448.04
  4. Step 4: Simplify right side
    85,172.44x = 5,576,954,368.25
  5. Step 5: Solve for x
    x = 5,576,954,368.25/85,172.44
  6. Step 6: Final answer
    x = 65,478.39

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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.