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Finding the Fourth Proportional to 30,277.67, 41,782.94 and 16,848.98

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Solution

The fourth proportional to 30,277.67, 41,782.94 and 16,848.98 is: 23,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.67 : 41,782.94 = 16,848.98 : x
  2. Step 2: Convert to fraction form
    30,277.67/41,782.94 = 16,848.98/x
  3. Step 3: Cross multiply
    30,277.67x = 41,782.94 × 16,848.98
  4. Step 4: Simplify right side
    30,277.67x = 703,999,847.11
  5. Step 5: Solve for x
    x = 703,999,847.11/30,277.67
  6. Step 6: Final answer
    x = 23,251.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.