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Finding the Fourth Proportional to 65,738.34, 90,725.29 and 38,889.50

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Solution

The fourth proportional to 65,738.34, 90,725.29 and 38,889.50 is: 53,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.34 : 90,725.29 = 38,889.50 : x
  2. Step 2: Convert to fraction form
    65,738.34/90,725.29 = 38,889.50/x
  3. Step 3: Cross multiply
    65,738.34x = 90,725.29 × 38,889.50
  4. Step 4: Simplify right side
    65,738.34x = 3,528,260,614.60
  5. Step 5: Solve for x
    x = 3,528,260,614.60/65,738.34
  6. Step 6: Final answer
    x = 53,671.28

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