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Finding the Fourth Proportional to 32,852.16, 45,316.80 and 20,268

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Solution

The fourth proportional to 32,852.16, 45,316.80 and 20,268 is: 27,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.16 : 45,316.80 = 20,268 : x
  2. Step 2: Convert to fraction form
    32,852.16/45,316.80 = 20,268/x
  3. Step 3: Cross multiply
    32,852.16x = 45,316.80 × 20,268
  4. Step 4: Simplify right side
    32,852.16x = 918,480,902.40
  5. Step 5: Solve for x
    x = 918,480,902.40/32,852.16
  6. Step 6: Final answer
    x = 27,958.01

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