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Finding the Fourth Proportional to 38,541.80, 53,196.25 and 23,431.25

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Solution

The fourth proportional to 38,541.80, 53,196.25 and 23,431.25 is: 32,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541.80 : 53,196.25 = 23,431.25 : x
  2. Step 2: Convert to fraction form
    38,541.80/53,196.25 = 23,431.25/x
  3. Step 3: Cross multiply
    38,541.80x = 53,196.25 × 23,431.25
  4. Step 4: Simplify right side
    38,541.80x = 1,246,454,632.81
  5. Step 5: Solve for x
    x = 1,246,454,632.81/38,541.80
  6. Step 6: Final answer
    x = 32,340.34

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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.