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Finding the Fourth Proportional to 65,203.84, 89,981.76 and 35,395.84

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Solution

The fourth proportional to 65,203.84, 89,981.76 and 35,395.84 is: 48,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.84 : 89,981.76 = 35,395.84 : x
  2. Step 2: Convert to fraction form
    65,203.84/89,981.76 = 35,395.84/x
  3. Step 3: Cross multiply
    65,203.84x = 89,981.76 × 35,395.84
  4. Step 4: Simplify right side
    65,203.84x = 3,184,979,979.88
  5. Step 5: Solve for x
    x = 3,184,979,979.88/65,203.84
  6. Step 6: Final answer
    x = 48,846.51

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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.