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Finding the Fourth Proportional to 34,041.69, 46,976.02 and 19,699.22

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Solution

The fourth proportional to 34,041.69, 46,976.02 and 19,699.22 is: 27,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041.69 : 46,976.02 = 19,699.22 : x
  2. Step 2: Convert to fraction form
    34,041.69/46,976.02 = 19,699.22/x
  3. Step 3: Cross multiply
    34,041.69x = 46,976.02 × 19,699.22
  4. Step 4: Simplify right side
    34,041.69x = 925,391,020.90
  5. Step 5: Solve for x
    x = 925,391,020.90/34,041.69
  6. Step 6: Final answer
    x = 27,184.05

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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.