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Finding the Fourth Proportional to 65,314.69, 98,005.76 and 27,864.71

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Solution

The fourth proportional to 65,314.69, 98,005.76 and 27,864.71 is: 41,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.69 : 98,005.76 = 27,864.71 : x
  2. Step 2: Convert to fraction form
    65,314.69/98,005.76 = 27,864.71/x
  3. Step 3: Cross multiply
    65,314.69x = 98,005.76 × 27,864.71
  4. Step 4: Simplify right side
    65,314.69x = 2,730,902,186.42
  5. Step 5: Solve for x
    x = 2,730,902,186.42/65,314.69
  6. Step 6: Final answer
    x = 41,811.45

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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.