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Finding the Fourth Proportional to 84,786.50, 127,182.18 and 22,457

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Solution

The fourth proportional to 84,786.50, 127,182.18 and 22,457 is: 33,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786.50 : 127,182.18 = 22,457 : x
  2. Step 2: Convert to fraction form
    84,786.50/127,182.18 = 22,457/x
  3. Step 3: Cross multiply
    84,786.50x = 127,182.18 × 22,457
  4. Step 4: Simplify right side
    84,786.50x = 2,856,130,216.26
  5. Step 5: Solve for x
    x = 2,856,130,216.26/84,786.50
  6. Step 6: Final answer
    x = 33,686.14

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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.