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Finding the Fourth Proportional to 53,773, 74,206.74 and 30,221

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Solution

The fourth proportional to 53,773, 74,206.74 and 30,221 is: 41,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,773 : 74,206.74 = 30,221 : x
  2. Step 2: Convert to fraction form
    53,773/74,206.74 = 30,221/x
  3. Step 3: Cross multiply
    53,773x = 74,206.74 × 30,221
  4. Step 4: Simplify right side
    53,773x = 2,242,601,889.54
  5. Step 5: Solve for x
    x = 2,242,601,889.54/53,773
  6. Step 6: Final answer
    x = 41,704.98

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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.