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Finding the Fourth Proportional to 29,919.83, 44,888.06 and 13,054.31

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Solution

The fourth proportional to 29,919.83, 44,888.06 and 13,054.31 is: 19,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,919.83 : 44,888.06 = 13,054.31 : x
  2. Step 2: Convert to fraction form
    29,919.83/44,888.06 = 13,054.31/x
  3. Step 3: Cross multiply
    29,919.83x = 44,888.06 × 13,054.31
  4. Step 4: Simplify right side
    29,919.83x = 585,982,360.83
  5. Step 5: Solve for x
    x = 585,982,360.83/29,919.83
  6. Step 6: Final answer
    x = 19,585.09

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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.