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Finding the Fourth Proportional to 32,211.75, 44,457.08 and 19,643.79

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Solution

The fourth proportional to 32,211.75, 44,457.08 and 19,643.79 is: 27,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,211.75 : 44,457.08 = 19,643.79 : x
  2. Step 2: Convert to fraction form
    32,211.75/44,457.08 = 19,643.79/x
  3. Step 3: Cross multiply
    32,211.75x = 44,457.08 × 19,643.79
  4. Step 4: Simplify right side
    32,211.75x = 873,305,445.31
  5. Step 5: Solve for x
    x = 873,305,445.31/32,211.75
  6. Step 6: Final answer
    x = 27,111.39

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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.