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Finding the Fourth Proportional to 46,610.88, 69,879.36 and 24,420

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Solution

The fourth proportional to 46,610.88, 69,879.36 and 24,420 is: 36,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,610.88 : 69,879.36 = 24,420 : x
  2. Step 2: Convert to fraction form
    46,610.88/69,879.36 = 24,420/x
  3. Step 3: Cross multiply
    46,610.88x = 69,879.36 × 24,420
  4. Step 4: Simplify right side
    46,610.88x = 1,706,453,971.20
  5. Step 5: Solve for x
    x = 1,706,453,971.20/46,610.88
  6. Step 6: Final answer
    x = 36,610.64

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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.