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Finding the Fourth Proportional to 98,030.72, 146,958.72 and 45,367.84

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Solution

The fourth proportional to 98,030.72, 146,958.72 and 45,367.84 is: 68,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030.72 : 146,958.72 = 45,367.84 : x
  2. Step 2: Convert to fraction form
    98,030.72/146,958.72 = 45,367.84/x
  3. Step 3: Cross multiply
    98,030.72x = 146,958.72 × 45,367.84
  4. Step 4: Simplify right side
    98,030.72x = 6,667,199,695.56
  5. Step 5: Solve for x
    x = 6,667,199,695.56/98,030.72
  6. Step 6: Final answer
    x = 68,011.33

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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.