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Finding the Fourth Proportional to 32,109.84, 48,054.42 and 20,258.16

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Solution

The fourth proportional to 32,109.84, 48,054.42 and 20,258.16 is: 30,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.84 : 48,054.42 = 20,258.16 : x
  2. Step 2: Convert to fraction form
    32,109.84/48,054.42 = 20,258.16/x
  3. Step 3: Cross multiply
    32,109.84x = 48,054.42 × 20,258.16
  4. Step 4: Simplify right side
    32,109.84x = 973,494,129.07
  5. Step 5: Solve for x
    x = 973,494,129.07/32,109.84
  6. Step 6: Final answer
    x = 30,317.63

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1.5x scale

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.