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Finding the Fourth Proportional to 49,009.50, 73,514.26 and 21,307.50

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Solution

The fourth proportional to 49,009.50, 73,514.26 and 21,307.50 is: 31,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009.50 : 73,514.26 = 21,307.50 : x
  2. Step 2: Convert to fraction form
    49,009.50/73,514.26 = 21,307.50/x
  3. Step 3: Cross multiply
    49,009.50x = 73,514.26 × 21,307.50
  4. Step 4: Simplify right side
    49,009.50x = 1,566,405,094.95
  5. Step 5: Solve for x
    x = 1,566,405,094.95/49,009.50
  6. Step 6: Final answer
    x = 31,961.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.