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Finding the Fourth Proportional to 33,413, 46,111.46 and 18,509

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Solution

The fourth proportional to 33,413, 46,111.46 and 18,509 is: 25,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413 : 46,111.46 = 18,509 : x
  2. Step 2: Convert to fraction form
    33,413/46,111.46 = 18,509/x
  3. Step 3: Cross multiply
    33,413x = 46,111.46 × 18,509
  4. Step 4: Simplify right side
    33,413x = 853,477,013.14
  5. Step 5: Solve for x
    x = 853,477,013.14/33,413
  6. Step 6: Final answer
    x = 25,543.26

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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.