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Finding the Fourth Proportional to 65,133, 89,883.54 and 36,838.08

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Solution

The fourth proportional to 65,133, 89,883.54 and 36,838.08 is: 50,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133 : 89,883.54 = 36,838.08 : x
  2. Step 2: Convert to fraction form
    65,133/89,883.54 = 36,838.08/x
  3. Step 3: Cross multiply
    65,133x = 89,883.54 × 36,838.08
  4. Step 4: Simplify right side
    65,133x = 3,311,137,037.20
  5. Step 5: Solve for x
    x = 3,311,137,037.20/65,133
  6. Step 6: Final answer
    x = 50,836.55

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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.