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Finding the Fourth Proportional to 55,906.54, 83,842.02 and 18,459.64

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Solution

The fourth proportional to 55,906.54, 83,842.02 and 18,459.64 is: 27,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.54 : 83,842.02 = 18,459.64 : x
  2. Step 2: Convert to fraction form
    55,906.54/83,842.02 = 18,459.64/x
  3. Step 3: Cross multiply
    55,906.54x = 83,842.02 × 18,459.64
  4. Step 4: Simplify right side
    55,906.54x = 1,547,693,086.86
  5. Step 5: Solve for x
    x = 1,547,693,086.86/55,906.54
  6. Step 6: Final answer
    x = 27,683.58

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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.