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Finding the Fourth Proportional to 33,671, 46,466.29 and 18,564.19

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Solution

The fourth proportional to 33,671, 46,466.29 and 18,564.19 is: 25,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671 : 46,466.29 = 18,564.19 : x
  2. Step 2: Convert to fraction form
    33,671/46,466.29 = 18,564.19/x
  3. Step 3: Cross multiply
    33,671x = 46,466.29 × 18,564.19
  4. Step 4: Simplify right side
    33,671x = 862,609,036.16
  5. Step 5: Solve for x
    x = 862,609,036.16/33,671
  6. Step 6: Final answer
    x = 25,618.75

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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.