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Finding the Fourth Proportional to 37,773, 52,126.74 and 21,006

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Solution

The fourth proportional to 37,773, 52,126.74 and 21,006 is: 28,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773 : 52,126.74 = 21,006 : x
  2. Step 2: Convert to fraction form
    37,773/52,126.74 = 21,006/x
  3. Step 3: Cross multiply
    37,773x = 52,126.74 × 21,006
  4. Step 4: Simplify right side
    37,773x = 1,094,974,300.44
  5. Step 5: Solve for x
    x = 1,094,974,300.44/37,773
  6. Step 6: Final answer
    x = 28,988.28

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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.