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Finding the Fourth Proportional to 65,109.18, 97,678.50 and 20,738.46

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Solution

The fourth proportional to 65,109.18, 97,678.50 and 20,738.46 is: 31,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.18 : 97,678.50 = 20,738.46 : x
  2. Step 2: Convert to fraction form
    65,109.18/97,678.50 = 20,738.46/x
  3. Step 3: Cross multiply
    65,109.18x = 97,678.50 × 20,738.46
  4. Step 4: Simplify right side
    65,109.18x = 2,025,701,665.11
  5. Step 5: Solve for x
    x = 2,025,701,665.11/65,109.18
  6. Step 6: Final answer
    x = 31,112.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.