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Finding the Fourth Proportional to 65,204.68, 97,812.24 and 20,837.74

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Solution

The fourth proportional to 65,204.68, 97,812.24 and 20,837.74 is: 31,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.68 : 97,812.24 = 20,837.74 : x
  2. Step 2: Convert to fraction form
    65,204.68/97,812.24 = 20,837.74/x
  3. Step 3: Cross multiply
    65,204.68x = 97,812.24 × 20,837.74
  4. Step 4: Simplify right side
    65,204.68x = 2,038,186,025.94
  5. Step 5: Solve for x
    x = 2,038,186,025.94/65,204.68
  6. Step 6: Final answer
    x = 31,258.28

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Why These Related Problems?

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