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Finding the Fourth Proportional to 65,300.02, 97,950.03 and 18,546.82

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Solution

The fourth proportional to 65,300.02, 97,950.03 and 18,546.82 is: 27,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.02 : 97,950.03 = 18,546.82 : x
  2. Step 2: Convert to fraction form
    65,300.02/97,950.03 = 18,546.82/x
  3. Step 3: Cross multiply
    65,300.02x = 97,950.03 × 18,546.82
  4. Step 4: Simplify right side
    65,300.02x = 1,816,661,575.40
  5. Step 5: Solve for x
    x = 1,816,661,575.40/65,300.02
  6. Step 6: Final answer
    x = 27,820.23

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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.