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Finding the Fourth Proportional to 65,225.97, 97,866.81 and 27,803.68

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Solution

The fourth proportional to 65,225.97, 97,866.81 and 27,803.68 is: 41,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.97 : 97,866.81 = 27,803.68 : x
  2. Step 2: Convert to fraction form
    65,225.97/97,866.81 = 27,803.68/x
  3. Step 3: Cross multiply
    65,225.97x = 97,866.81 × 27,803.68
  4. Step 4: Simplify right side
    65,225.97x = 2,721,057,223.19
  5. Step 5: Solve for x
    x = 2,721,057,223.19/65,225.97
  6. Step 6: Final answer
    x = 41,717.39

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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.