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Finding the Fourth Proportional to 65,105.95, 97,391.57 and 51,983.95

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Solution

The fourth proportional to 65,105.95, 97,391.57 and 51,983.95 is: 77,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.95 : 97,391.57 = 51,983.95 : x
  2. Step 2: Convert to fraction form
    65,105.95/97,391.57 = 51,983.95/x
  3. Step 3: Cross multiply
    65,105.95x = 97,391.57 × 51,983.95
  4. Step 4: Simplify right side
    65,105.95x = 5,062,798,245.38
  5. Step 5: Solve for x
    x = 5,062,798,245.38/65,105.95
  6. Step 6: Final answer
    x = 77,762.45

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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.