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Finding the Fourth Proportional to 65,749.80, 98,624.70 and 18,364.80

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Solution

The fourth proportional to 65,749.80, 98,624.70 and 18,364.80 is: 27,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,749.80 : 98,624.70 = 18,364.80 : x
  2. Step 2: Convert to fraction form
    65,749.80/98,624.70 = 18,364.80/x
  3. Step 3: Cross multiply
    65,749.80x = 98,624.70 × 18,364.80
  4. Step 4: Simplify right side
    65,749.80x = 1,811,222,890.56
  5. Step 5: Solve for x
    x = 1,811,222,890.56/65,749.80
  6. Step 6: Final answer
    x = 27,547.20

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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.