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Finding the Fourth Proportional to 32,084.68, 44,284.44 and 19,507

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Solution

The fourth proportional to 32,084.68, 44,284.44 and 19,507 is: 26,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.68 : 44,284.44 = 19,507 : x
  2. Step 2: Convert to fraction form
    32,084.68/44,284.44 = 19,507/x
  3. Step 3: Cross multiply
    32,084.68x = 44,284.44 × 19,507
  4. Step 4: Simplify right side
    32,084.68x = 863,856,571.08
  5. Step 5: Solve for x
    x = 863,856,571.08/32,084.68
  6. Step 6: Final answer
    x = 26,924.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.