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Finding the Fourth Proportional to 32,515.88, 48,772.73 and 13,783.86

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Solution

The fourth proportional to 32,515.88, 48,772.73 and 13,783.86 is: 20,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515.88 : 48,772.73 = 13,783.86 : x
  2. Step 2: Convert to fraction form
    32,515.88/48,772.73 = 13,783.86/x
  3. Step 3: Cross multiply
    32,515.88x = 48,772.73 × 13,783.86
  4. Step 4: Simplify right side
    32,515.88x = 672,276,413.22
  5. Step 5: Solve for x
    x = 672,276,413.22/32,515.88
  6. Step 6: Final answer
    x = 20,675.33

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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.