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Finding the Fourth Proportional to 65,381.65, 97,923.03 and 51,309.52

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Solution

The fourth proportional to 65,381.65, 97,923.03 and 51,309.52 is: 76,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.65 : 97,923.03 = 51,309.52 : x
  2. Step 2: Convert to fraction form
    65,381.65/97,923.03 = 51,309.52/x
  3. Step 3: Cross multiply
    65,381.65x = 97,923.03 × 51,309.52
  4. Step 4: Simplify right side
    65,381.65x = 5,024,383,666.25
  5. Step 5: Solve for x
    x = 5,024,383,666.25/65,381.65
  6. Step 6: Final answer
    x = 76,847.00

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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.