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Finding the Fourth Proportional to 32,099.58, 44,293.23 and 17,955

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Solution

The fourth proportional to 32,099.58, 44,293.23 and 17,955 is: 24,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.58 : 44,293.23 = 17,955 : x
  2. Step 2: Convert to fraction form
    32,099.58/44,293.23 = 17,955/x
  3. Step 3: Cross multiply
    32,099.58x = 44,293.23 × 17,955
  4. Step 4: Simplify right side
    32,099.58x = 795,284,944.65
  5. Step 5: Solve for x
    x = 795,284,944.65/32,099.58
  6. Step 6: Final answer
    x = 24,775.56

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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.