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Finding the Fourth Proportional to 65,345.76, 98,022.96 and 27,884.88

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Solution

The fourth proportional to 65,345.76, 98,022.96 and 27,884.88 is: 41,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,345.76 : 98,022.96 = 27,884.88 : x
  2. Step 2: Convert to fraction form
    65,345.76/98,022.96 = 27,884.88/x
  3. Step 3: Cross multiply
    65,345.76x = 98,022.96 × 27,884.88
  4. Step 4: Simplify right side
    65,345.76x = 2,733,358,476.84
  5. Step 5: Solve for x
    x = 2,733,358,476.84/65,345.76
  6. Step 6: Final answer
    x = 41,829.16

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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.