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Finding the Fourth Proportional to 84,865, 127,297.50 and 29,461

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Solution

The fourth proportional to 84,865, 127,297.50 and 29,461 is: 44,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,865 : 127,297.50 = 29,461 : x
  2. Step 2: Convert to fraction form
    84,865/127,297.50 = 29,461/x
  3. Step 3: Cross multiply
    84,865x = 127,297.50 × 29,461
  4. Step 4: Simplify right side
    84,865x = 3,750,311,647.50
  5. Step 5: Solve for x
    x = 3,750,311,647.50/84,865
  6. Step 6: Final answer
    x = 44,191.50

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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.