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Finding the Fourth Proportional to 38,473.28, 53,078.40 and 25,056

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Solution

The fourth proportional to 38,473.28, 53,078.40 and 25,056 is: 34,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.28 : 53,078.40 = 25,056 : x
  2. Step 2: Convert to fraction form
    38,473.28/53,078.40 = 25,056/x
  3. Step 3: Cross multiply
    38,473.28x = 53,078.40 × 25,056
  4. Step 4: Simplify right side
    38,473.28x = 1,329,932,390.40
  5. Step 5: Solve for x
    x = 1,329,932,390.40/38,473.28
  6. Step 6: Final answer
    x = 34,567.69

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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.