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Finding the Fourth Proportional to 65,497.16, 98,245.58 and 18,749.96

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Solution

The fourth proportional to 65,497.16, 98,245.58 and 18,749.96 is: 28,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.16 : 98,245.58 = 18,749.96 : x
  2. Step 2: Convert to fraction form
    65,497.16/98,245.58 = 18,749.96/x
  3. Step 3: Cross multiply
    65,497.16x = 98,245.58 × 18,749.96
  4. Step 4: Simplify right side
    65,497.16x = 1,842,100,695.18
  5. Step 5: Solve for x
    x = 1,842,100,695.18/65,497.16
  6. Step 6: Final answer
    x = 28,124.89

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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.