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Finding the Fourth Proportional to 34,054.98, 46,978.21 and 19,899.62

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Solution

The fourth proportional to 34,054.98, 46,978.21 and 19,899.62 is: 27,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054.98 : 46,978.21 = 19,899.62 : x
  2. Step 2: Convert to fraction form
    34,054.98/46,978.21 = 19,899.62/x
  3. Step 3: Cross multiply
    34,054.98x = 46,978.21 × 19,899.62
  4. Step 4: Simplify right side
    34,054.98x = 934,848,527.28
  5. Step 5: Solve for x
    x = 934,848,527.28/34,054.98
  6. Step 6: Final answer
    x = 27,451.15

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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.