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Finding the Fourth Proportional to 77,394.01, 106,822.79 and 47,196

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Solution

The fourth proportional to 77,394.01, 106,822.79 and 47,196 is: 65,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.01 : 106,822.79 = 47,196 : x
  2. Step 2: Convert to fraction form
    77,394.01/106,822.79 = 47,196/x
  3. Step 3: Cross multiply
    77,394.01x = 106,822.79 × 47,196
  4. Step 4: Simplify right side
    77,394.01x = 5,041,608,396.84
  5. Step 5: Solve for x
    x = 5,041,608,396.84/77,394.01
  6. Step 6: Final answer
    x = 65,142.10

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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.