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Finding the Fourth Proportional to 83,347.24, 115,019.91 and 47,539.07

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Solution

The fourth proportional to 83,347.24, 115,019.91 and 47,539.07 is: 65,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,347.24 : 115,019.91 = 47,539.07 : x
  2. Step 2: Convert to fraction form
    83,347.24/115,019.91 = 47,539.07/x
  3. Step 3: Cross multiply
    83,347.24x = 115,019.91 × 47,539.07
  4. Step 4: Simplify right side
    83,347.24x = 5,467,938,977.78
  5. Step 5: Solve for x
    x = 5,467,938,977.78/83,347.24
  6. Step 6: Final answer
    x = 65,604.32

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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.