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Finding the Fourth Proportional to 84,784.50, 127,179.18 and 22,455

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Solution

The fourth proportional to 84,784.50, 127,179.18 and 22,455 is: 33,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,784.50 : 127,179.18 = 22,455 : x
  2. Step 2: Convert to fraction form
    84,784.50/127,179.18 = 22,455/x
  3. Step 3: Cross multiply
    84,784.50x = 127,179.18 × 22,455
  4. Step 4: Simplify right side
    84,784.50x = 2,855,808,486.90
  5. Step 5: Solve for x
    x = 2,855,808,486.90/84,784.50
  6. Step 6: Final answer
    x = 33,683.14

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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.