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Finding the Fourth Proportional to 31,933.53, 47,894.82 and 8,554.50

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Solution

The fourth proportional to 31,933.53, 47,894.82 and 8,554.50 is: 12,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933.53 : 47,894.82 = 8,554.50 : x
  2. Step 2: Convert to fraction form
    31,933.53/47,894.82 = 8,554.50/x
  3. Step 3: Cross multiply
    31,933.53x = 47,894.82 × 8,554.50
  4. Step 4: Simplify right side
    31,933.53x = 409,716,237.69
  5. Step 5: Solve for x
    x = 409,716,237.69/31,933.53
  6. Step 6: Final answer
    x = 12,830.28

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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.