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Finding the Fourth Proportional to 30,798.88, 46,141.80 and 27,478.24

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Solution

The fourth proportional to 30,798.88, 46,141.80 and 27,478.24 is: 41,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.88 : 46,141.80 = 27,478.24 : x
  2. Step 2: Convert to fraction form
    30,798.88/46,141.80 = 27,478.24/x
  3. Step 3: Cross multiply
    30,798.88x = 46,141.80 × 27,478.24
  4. Step 4: Simplify right side
    30,798.88x = 1,267,895,454.43
  5. Step 5: Solve for x
    x = 1,267,895,454.43/30,798.88
  6. Step 6: Final answer
    x = 41,166.93

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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.