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Finding the Fourth Proportional to 85,293, 127,939.50 and 22,963.50

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Solution

The fourth proportional to 85,293, 127,939.50 and 22,963.50 is: 34,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,293 : 127,939.50 = 22,963.50 : x
  2. Step 2: Convert to fraction form
    85,293/127,939.50 = 22,963.50/x
  3. Step 3: Cross multiply
    85,293x = 127,939.50 × 22,963.50
  4. Step 4: Simplify right side
    85,293x = 2,937,938,708.25
  5. Step 5: Solve for x
    x = 2,937,938,708.25/85,293
  6. Step 6: Final answer
    x = 34,445.25

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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.