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Finding the Fourth Proportional to 65,469.60, 98,172 and 30,386.88

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Solution

The fourth proportional to 65,469.60, 98,172 and 30,386.88 is: 45,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,469.60 : 98,172 = 30,386.88 : x
  2. Step 2: Convert to fraction form
    65,469.60/98,172 = 30,386.88/x
  3. Step 3: Cross multiply
    65,469.60x = 98,172 × 30,386.88
  4. Step 4: Simplify right side
    65,469.60x = 2,983,140,783.36
  5. Step 5: Solve for x
    x = 2,983,140,783.36/65,469.60
  6. Step 6: Final answer
    x = 45,565.28

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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.