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Finding the Fourth Proportional to 84,690.96, 127,036.44 and 22,362

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Solution

The fourth proportional to 84,690.96, 127,036.44 and 22,362 is: 33,543

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,690.96 : 127,036.44 = 22,362 : x
  2. Step 2: Convert to fraction form
    84,690.96/127,036.44 = 22,362/x
  3. Step 3: Cross multiply
    84,690.96x = 127,036.44 × 22,362
  4. Step 4: Simplify right side
    84,690.96x = 2,840,788,871.28
  5. Step 5: Solve for x
    x = 2,840,788,871.28/84,690.96
  6. Step 6: Final answer
    x = 33,543

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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.