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Finding the Fourth Proportional to 54,643.98, 75,409.95 and 30,446.54

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Solution

The fourth proportional to 54,643.98, 75,409.95 and 30,446.54 is: 42,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.98 : 75,409.95 = 30,446.54 : x
  2. Step 2: Convert to fraction form
    54,643.98/75,409.95 = 30,446.54/x
  3. Step 3: Cross multiply
    54,643.98x = 75,409.95 × 30,446.54
  4. Step 4: Simplify right side
    54,643.98x = 2,295,971,682.02
  5. Step 5: Solve for x
    x = 2,295,971,682.02/54,643.98
  6. Step 6: Final answer
    x = 42,016.92

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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.