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Finding the Fourth Proportional to 54,323.46, 74,965.05 and 30,124.31

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Solution

The fourth proportional to 54,323.46, 74,965.05 and 30,124.31 is: 41,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,323.46 : 74,965.05 = 30,124.31 : x
  2. Step 2: Convert to fraction form
    54,323.46/74,965.05 = 30,124.31/x
  3. Step 3: Cross multiply
    54,323.46x = 74,965.05 × 30,124.31
  4. Step 4: Simplify right side
    54,323.46x = 2,258,270,030.54
  5. Step 5: Solve for x
    x = 2,258,270,030.54/54,323.46
  6. Step 6: Final answer
    x = 41,570.81

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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.