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Finding the Fourth Proportional to 55,768.84, 83,652.75 and 13,649.10

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Solution

The fourth proportional to 55,768.84, 83,652.75 and 13,649.10 is: 20,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768.84 : 83,652.75 = 13,649.10 : x
  2. Step 2: Convert to fraction form
    55,768.84/83,652.75 = 13,649.10/x
  3. Step 3: Cross multiply
    55,768.84x = 83,652.75 × 13,649.10
  4. Step 4: Simplify right side
    55,768.84x = 1,141,784,848.06
  5. Step 5: Solve for x
    x = 1,141,784,848.06/55,768.84
  6. Step 6: Final answer
    x = 20,473.53

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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.