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Finding the Fourth Proportional to 83,401.02, 115,089 and 47,594.37

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Solution

The fourth proportional to 83,401.02, 115,089 and 47,594.37 is: 65,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,401.02 : 115,089 = 47,594.37 : x
  2. Step 2: Convert to fraction form
    83,401.02/115,089 = 47,594.37/x
  3. Step 3: Cross multiply
    83,401.02x = 115,089 × 47,594.37
  4. Step 4: Simplify right side
    83,401.02x = 5,477,588,448.93
  5. Step 5: Solve for x
    x = 5,477,588,448.93/83,401.02
  6. Step 6: Final answer
    x = 65,677.72

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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.