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Finding the Fourth Proportional to 65,249.64, 97,874.06 and 18,502.52

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Solution

The fourth proportional to 65,249.64, 97,874.06 and 18,502.52 is: 27,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.64 : 97,874.06 = 18,502.52 : x
  2. Step 2: Convert to fraction form
    65,249.64/97,874.06 = 18,502.52/x
  3. Step 3: Cross multiply
    65,249.64x = 97,874.06 × 18,502.52
  4. Step 4: Simplify right side
    65,249.64x = 1,810,916,752.63
  5. Step 5: Solve for x
    x = 1,810,916,752.63/65,249.64
  6. Step 6: Final answer
    x = 27,753.67

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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.