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Finding the Fourth Proportional to 65,216.03, 97,824.06 and 35,617.68

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Solution

The fourth proportional to 65,216.03, 97,824.06 and 35,617.68 is: 53,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.03 : 97,824.06 = 35,617.68 : x
  2. Step 2: Convert to fraction form
    65,216.03/97,824.06 = 35,617.68/x
  3. Step 3: Cross multiply
    65,216.03x = 97,824.06 × 35,617.68
  4. Step 4: Simplify right side
    65,216.03x = 3,484,266,065.38
  5. Step 5: Solve for x
    x = 3,484,266,065.38/65,216.03
  6. Step 6: Final answer
    x = 53,426.53

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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.