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Finding the Fourth Proportional to 39,182.32, 54,032.52 and 25,030

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Solution

The fourth proportional to 39,182.32, 54,032.52 and 25,030 is: 34,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182.32 : 54,032.52 = 25,030 : x
  2. Step 2: Convert to fraction form
    39,182.32/54,032.52 = 25,030/x
  3. Step 3: Cross multiply
    39,182.32x = 54,032.52 × 25,030
  4. Step 4: Simplify right side
    39,182.32x = 1,352,433,975.60
  5. Step 5: Solve for x
    x = 1,352,433,975.60/39,182.32
  6. Step 6: Final answer
    x = 34,516.43

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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.