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Finding the Fourth Proportional to 38,245.50, 52,783.74 and 21,478.50

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Solution

The fourth proportional to 38,245.50, 52,783.74 and 21,478.50 is: 29,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.50 : 52,783.74 = 21,478.50 : x
  2. Step 2: Convert to fraction form
    38,245.50/52,783.74 = 21,478.50/x
  3. Step 3: Cross multiply
    38,245.50x = 52,783.74 × 21,478.50
  4. Step 4: Simplify right side
    38,245.50x = 1,133,715,559.59
  5. Step 5: Solve for x
    x = 1,133,715,559.59/38,245.50
  6. Step 6: Final answer
    x = 29,643.11

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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.