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Finding the Fourth Proportional to 38,012.30, 52,454.86 and 21,015.56

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Solution

The fourth proportional to 38,012.30, 52,454.86 and 21,015.56 is: 29,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.30 : 52,454.86 = 21,015.56 : x
  2. Step 2: Convert to fraction form
    38,012.30/52,454.86 = 21,015.56/x
  3. Step 3: Cross multiply
    38,012.30x = 52,454.86 × 21,015.56
  4. Step 4: Simplify right side
    38,012.30x = 1,102,368,047.89
  5. Step 5: Solve for x
    x = 1,102,368,047.89/38,012.30
  6. Step 6: Final answer
    x = 29,000.30

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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.