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Finding the Fourth Proportional to 38,426, 53,071.62 and 25,828.88

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Solution

The fourth proportional to 38,426, 53,071.62 and 25,828.88 is: 35,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 53,071.62 = 25,828.88 : x
  2. Step 2: Convert to fraction form
    38,426/53,071.62 = 25,828.88/x
  3. Step 3: Cross multiply
    38,426x = 53,071.62 × 25,828.88
  4. Step 4: Simplify right side
    38,426x = 1,370,780,504.39
  5. Step 5: Solve for x
    x = 1,370,780,504.39/38,426
  6. Step 6: Final answer
    x = 35,673.26

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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.