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Finding the Fourth Proportional to 55,662.84, 83,505.18 and 20,602.80

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Solution

The fourth proportional to 55,662.84, 83,505.18 and 20,602.80 is: 30,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,662.84 : 83,505.18 = 20,602.80 : x
  2. Step 2: Convert to fraction form
    55,662.84/83,505.18 = 20,602.80/x
  3. Step 3: Cross multiply
    55,662.84x = 83,505.18 × 20,602.80
  4. Step 4: Simplify right side
    55,662.84x = 1,720,440,522.50
  5. Step 5: Solve for x
    x = 1,720,440,522.50/55,662.84
  6. Step 6: Final answer
    x = 30,908.24

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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.