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Finding the Fourth Proportional to 38,597.75, 53,264.90 and 20,933.75

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Solution

The fourth proportional to 38,597.75, 53,264.90 and 20,933.75 is: 28,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.75 : 53,264.90 = 20,933.75 : x
  2. Step 2: Convert to fraction form
    38,597.75/53,264.90 = 20,933.75/x
  3. Step 3: Cross multiply
    38,597.75x = 53,264.90 × 20,933.75
  4. Step 4: Simplify right side
    38,597.75x = 1,115,034,100.38
  5. Step 5: Solve for x
    x = 1,115,034,100.38/38,597.75
  6. Step 6: Final answer
    x = 28,888.58

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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.