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Finding the Fourth Proportional to 46,229.86, 69,351.88 and 19,576

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Solution

The fourth proportional to 46,229.86, 69,351.88 and 19,576 is: 29,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229.86 : 69,351.88 = 19,576 : x
  2. Step 2: Convert to fraction form
    46,229.86/69,351.88 = 19,576/x
  3. Step 3: Cross multiply
    46,229.86x = 69,351.88 × 19,576
  4. Step 4: Simplify right side
    46,229.86x = 1,357,632,402.88
  5. Step 5: Solve for x
    x = 1,357,632,402.88/46,229.86
  6. Step 6: Final answer
    x = 29,367.00

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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.