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Finding the Fourth Proportional to 65,156.68, 97,733.10 and 18,408.76

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Solution

The fourth proportional to 65,156.68, 97,733.10 and 18,408.76 is: 27,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,156.68 : 97,733.10 = 18,408.76 : x
  2. Step 2: Convert to fraction form
    65,156.68/97,733.10 = 18,408.76/x
  3. Step 3: Cross multiply
    65,156.68x = 97,733.10 × 18,408.76
  4. Step 4: Simplify right side
    65,156.68x = 1,799,145,181.96
  5. Step 5: Solve for x
    x = 1,799,145,181.96/65,156.68
  6. Step 6: Final answer
    x = 27,612.60

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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.