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Finding the Fourth Proportional to 65,204.40, 97,812 and 20,837.46

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Solution

The fourth proportional to 65,204.40, 97,812 and 20,837.46 is: 31,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.40 : 97,812 = 20,837.46 : x
  2. Step 2: Convert to fraction form
    65,204.40/97,812 = 20,837.46/x
  3. Step 3: Cross multiply
    65,204.40x = 97,812 × 20,837.46
  4. Step 4: Simplify right side
    65,204.40x = 2,038,153,637.52
  5. Step 5: Solve for x
    x = 2,038,153,637.52/65,204.40
  6. Step 6: Final answer
    x = 31,257.92

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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.