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Finding the Fourth Proportional to 54,636.40, 75,401.04 and 33,409

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Solution

The fourth proportional to 54,636.40, 75,401.04 and 33,409 is: 46,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,636.40 : 75,401.04 = 33,409 : x
  2. Step 2: Convert to fraction form
    54,636.40/75,401.04 = 33,409/x
  3. Step 3: Cross multiply
    54,636.40x = 75,401.04 × 33,409
  4. Step 4: Simplify right side
    54,636.40x = 2,519,073,345.36
  5. Step 5: Solve for x
    x = 2,519,073,345.36/54,636.40
  6. Step 6: Final answer
    x = 46,106.14

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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.