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Finding the Fourth Proportional to 65,003.84, 89,704.18 and 36,323.97

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Solution

The fourth proportional to 65,003.84, 89,704.18 and 36,323.97 is: 50,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,003.84 : 89,704.18 = 36,323.97 : x
  2. Step 2: Convert to fraction form
    65,003.84/89,704.18 = 36,323.97/x
  3. Step 3: Cross multiply
    65,003.84x = 89,704.18 × 36,323.97
  4. Step 4: Simplify right side
    65,003.84x = 3,258,411,943.19
  5. Step 5: Solve for x
    x = 3,258,411,943.19/65,003.84
  6. Step 6: Final answer
    x = 50,126.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.