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Finding the Fourth Proportional to 31,750.98, 47,625.99 and 7,735.56

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Solution

The fourth proportional to 31,750.98, 47,625.99 and 7,735.56 is: 11,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.98 : 47,625.99 = 7,735.56 : x
  2. Step 2: Convert to fraction form
    31,750.98/47,625.99 = 7,735.56/x
  3. Step 3: Cross multiply
    31,750.98x = 47,625.99 × 7,735.56
  4. Step 4: Simplify right side
    31,750.98x = 368,413,465.07
  5. Step 5: Solve for x
    x = 368,413,465.07/31,750.98
  6. Step 6: Final answer
    x = 11,603.22

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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.