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Finding the Fourth Proportional to 38,643.84, 53,309.52 and 25,208.88

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Solution

The fourth proportional to 38,643.84, 53,309.52 and 25,208.88 is: 34,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.84 : 53,309.52 = 25,208.88 : x
  2. Step 2: Convert to fraction form
    38,643.84/53,309.52 = 25,208.88/x
  3. Step 3: Cross multiply
    38,643.84x = 53,309.52 × 25,208.88
  4. Step 4: Simplify right side
    38,643.84x = 1,343,873,292.54
  5. Step 5: Solve for x
    x = 1,343,873,292.54/38,643.84
  6. Step 6: Final answer
    x = 34,775.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.