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Finding the Fourth Proportional to 33,574, 46,333.14 and 18,465.88

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Solution

The fourth proportional to 33,574, 46,333.14 and 18,465.88 is: 25,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574 : 46,333.14 = 18,465.88 : x
  2. Step 2: Convert to fraction form
    33,574/46,333.14 = 18,465.88/x
  3. Step 3: Cross multiply
    33,574x = 46,333.14 × 18,465.88
  4. Step 4: Simplify right side
    33,574x = 855,582,203.26
  5. Step 5: Solve for x
    x = 855,582,203.26/33,574
  6. Step 6: Final answer
    x = 25,483.48

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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.