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Finding the Fourth Proportional to 51,335, 77,033.22 and 22,151

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Solution

The fourth proportional to 51,335, 77,033.22 and 22,151 is: 33,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,335 : 77,033.22 = 22,151 : x
  2. Step 2: Convert to fraction form
    51,335/77,033.22 = 22,151/x
  3. Step 3: Cross multiply
    51,335x = 77,033.22 × 22,151
  4. Step 4: Simplify right side
    51,335x = 1,706,362,856.22
  5. Step 5: Solve for x
    x = 1,706,362,856.22/51,335
  6. Step 6: Final answer
    x = 33,239.76

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