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Finding the Fourth Proportional to 38,628.96, 53,308.72 and 25,208.80

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Solution

The fourth proportional to 38,628.96, 53,308.72 and 25,208.80 is: 34,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,628.96 : 53,308.72 = 25,208.80 : x
  2. Step 2: Convert to fraction form
    38,628.96/53,308.72 = 25,208.80/x
  3. Step 3: Cross multiply
    38,628.96x = 53,308.72 × 25,208.80
  4. Step 4: Simplify right side
    38,628.96x = 1,343,848,860.74
  5. Step 5: Solve for x
    x = 1,343,848,860.74/38,628.96
  6. Step 6: Final answer
    x = 34,788.64

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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.