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Finding the Fourth Proportional to 65,046, 89,763.84 and 35,238

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Solution

The fourth proportional to 65,046, 89,763.84 and 35,238 is: 48,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046 : 89,763.84 = 35,238 : x
  2. Step 2: Convert to fraction form
    65,046/89,763.84 = 35,238/x
  3. Step 3: Cross multiply
    65,046x = 89,763.84 × 35,238
  4. Step 4: Simplify right side
    65,046x = 3,163,098,193.92
  5. Step 5: Solve for x
    x = 3,163,098,193.92/65,046
  6. Step 6: Final answer
    x = 48,628.64

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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.