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Finding the Fourth Proportional to 29,796, 41,119.56 and 16,368.51

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Solution

The fourth proportional to 29,796, 41,119.56 and 16,368.51 is: 22,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,796 : 41,119.56 = 16,368.51 : x
  2. Step 2: Convert to fraction form
    29,796/41,119.56 = 16,368.51/x
  3. Step 3: Cross multiply
    29,796x = 41,119.56 × 16,368.51
  4. Step 4: Simplify right side
    29,796x = 673,065,929.06
  5. Step 5: Solve for x
    x = 673,065,929.06/29,796
  6. Step 6: Final answer
    x = 22,589.14

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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.