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Finding the Fourth Proportional to 29,739, 44,625.78 and 13,323

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Solution

The fourth proportional to 29,739, 44,625.78 and 13,323 is: 19,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739 : 44,625.78 = 13,323 : x
  2. Step 2: Convert to fraction form
    29,739/44,625.78 = 13,323/x
  3. Step 3: Cross multiply
    29,739x = 44,625.78 × 13,323
  4. Step 4: Simplify right side
    29,739x = 594,549,266.94
  5. Step 5: Solve for x
    x = 594,549,266.94/29,739
  6. Step 6: Final answer
    x = 19,992.24

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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.