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Finding the Fourth Proportional to 65,223.80, 97,835.70 and 23,665.40

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Solution

The fourth proportional to 65,223.80, 97,835.70 and 23,665.40 is: 35,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.80 : 97,835.70 = 23,665.40 : x
  2. Step 2: Convert to fraction form
    65,223.80/97,835.70 = 23,665.40/x
  3. Step 3: Cross multiply
    65,223.80x = 97,835.70 × 23,665.40
  4. Step 4: Simplify right side
    65,223.80x = 2,315,320,974.78
  5. Step 5: Solve for x
    x = 2,315,320,974.78/65,223.80
  6. Step 6: Final answer
    x = 35,498.10

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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.