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Finding the Fourth Proportional to 65,073.24, 97,598.52 and 18,315

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Solution

The fourth proportional to 65,073.24, 97,598.52 and 18,315 is: 27,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,073.24 : 97,598.52 = 18,315 : x
  2. Step 2: Convert to fraction form
    65,073.24/97,598.52 = 18,315/x
  3. Step 3: Cross multiply
    65,073.24x = 97,598.52 × 18,315
  4. Step 4: Simplify right side
    65,073.24x = 1,787,516,893.80
  5. Step 5: Solve for x
    x = 1,787,516,893.80/65,073.24
  6. Step 6: Final answer
    x = 27,469.31

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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.