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Finding the Fourth Proportional to 77,518.34, 106,987.01 and 47,321.24

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Solution

The fourth proportional to 77,518.34, 106,987.01 and 47,321.24 is: 65,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,518.34 : 106,987.01 = 47,321.24 : x
  2. Step 2: Convert to fraction form
    77,518.34/106,987.01 = 47,321.24/x
  3. Step 3: Cross multiply
    77,518.34x = 106,987.01 × 47,321.24
  4. Step 4: Simplify right side
    77,518.34x = 5,062,757,205.55
  5. Step 5: Solve for x
    x = 5,062,757,205.55/77,518.34
  6. Step 6: Final answer
    x = 65,310.45

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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.