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Finding the Fourth Proportional to 34,225.40, 51,299.70 and 19,441.40

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Solution

The fourth proportional to 34,225.40, 51,299.70 and 19,441.40 is: 29,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.40 : 51,299.70 = 19,441.40 : x
  2. Step 2: Convert to fraction form
    34,225.40/51,299.70 = 19,441.40/x
  3. Step 3: Cross multiply
    34,225.40x = 51,299.70 × 19,441.40
  4. Step 4: Simplify right side
    34,225.40x = 997,337,987.58
  5. Step 5: Solve for x
    x = 997,337,987.58/34,225.40
  6. Step 6: Final answer
    x = 29,140.29

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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.