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Finding the Fourth Proportional to 81,173.58, 112,019.40 and 47,202

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Solution

The fourth proportional to 81,173.58, 112,019.40 and 47,202 is: 65,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,173.58 : 112,019.40 = 47,202 : x
  2. Step 2: Convert to fraction form
    81,173.58/112,019.40 = 47,202/x
  3. Step 3: Cross multiply
    81,173.58x = 112,019.40 × 47,202
  4. Step 4: Simplify right side
    81,173.58x = 5,287,539,718.80
  5. Step 5: Solve for x
    x = 5,287,539,718.80/81,173.58
  6. Step 6: Final answer
    x = 65,138.68

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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.