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Finding the Fourth Proportional to 73,762.25, 110,643.44 and 31,614.98

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Solution

The fourth proportional to 73,762.25, 110,643.44 and 31,614.98 is: 47,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,762.25 : 110,643.44 = 31,614.98 : x
  2. Step 2: Convert to fraction form
    73,762.25/110,643.44 = 31,614.98/x
  3. Step 3: Cross multiply
    73,762.25x = 110,643.44 × 31,614.98
  4. Step 4: Simplify right side
    73,762.25x = 3,497,989,431.44
  5. Step 5: Solve for x
    x = 3,497,989,431.44/73,762.25
  6. Step 6: Final answer
    x = 47,422.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.