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Finding the Fourth Proportional to 55,763.64, 83,628.18 and 18,819

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Solution

The fourth proportional to 55,763.64, 83,628.18 and 18,819 is: 28,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,763.64 : 83,628.18 = 18,819 : x
  2. Step 2: Convert to fraction form
    55,763.64/83,628.18 = 18,819/x
  3. Step 3: Cross multiply
    55,763.64x = 83,628.18 × 18,819
  4. Step 4: Simplify right side
    55,763.64x = 1,573,798,719.42
  5. Step 5: Solve for x
    x = 1,573,798,719.42/55,763.64
  6. Step 6: Final answer
    x = 28,222.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.