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Finding the Fourth Proportional to 38,549.58, 53,182.32 and 25,952.46

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Solution

The fourth proportional to 38,549.58, 53,182.32 and 25,952.46 is: 35,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.58 : 53,182.32 = 25,952.46 : x
  2. Step 2: Convert to fraction form
    38,549.58/53,182.32 = 25,952.46/x
  3. Step 3: Cross multiply
    38,549.58x = 53,182.32 × 25,952.46
  4. Step 4: Simplify right side
    38,549.58x = 1,380,212,032.51
  5. Step 5: Solve for x
    x = 1,380,212,032.51/38,549.58
  6. Step 6: Final answer
    x = 35,803.56

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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.