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Finding the Fourth Proportional to 65,513.92, 98,287.44 and 28,055.20

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Solution

The fourth proportional to 65,513.92, 98,287.44 and 28,055.20 is: 42,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,513.92 : 98,287.44 = 28,055.20 : x
  2. Step 2: Convert to fraction form
    65,513.92/98,287.44 = 28,055.20/x
  3. Step 3: Cross multiply
    65,513.92x = 98,287.44 × 28,055.20
  4. Step 4: Simplify right side
    65,513.92x = 2,757,473,786.69
  5. Step 5: Solve for x
    x = 2,757,473,786.69/65,513.92
  6. Step 6: Final answer
    x = 42,089.89

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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.