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Finding the Fourth Proportional to 34,920.90, 48,190.84 and 19,005

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Solution

The fourth proportional to 34,920.90, 48,190.84 and 19,005 is: 26,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,920.90 : 48,190.84 = 19,005 : x
  2. Step 2: Convert to fraction form
    34,920.90/48,190.84 = 19,005/x
  3. Step 3: Cross multiply
    34,920.90x = 48,190.84 × 19,005
  4. Step 4: Simplify right side
    34,920.90x = 915,866,914.20
  5. Step 5: Solve for x
    x = 915,866,914.20/34,920.90
  6. Step 6: Final answer
    x = 26,226.90

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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.