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Finding the Fourth Proportional to 81,525.29, 122,282.46 and 22,356

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Solution

The fourth proportional to 81,525.29, 122,282.46 and 22,356 is: 33,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,525.29 : 122,282.46 = 22,356 : x
  2. Step 2: Convert to fraction form
    81,525.29/122,282.46 = 22,356/x
  3. Step 3: Cross multiply
    81,525.29x = 122,282.46 × 22,356
  4. Step 4: Simplify right side
    81,525.29x = 2,733,746,675.76
  5. Step 5: Solve for x
    x = 2,733,746,675.76/81,525.29
  6. Step 6: Final answer
    x = 33,532.50

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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.