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Finding the Fourth Proportional to 65,158.59, 97,741.53 and 18,410.25

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Solution

The fourth proportional to 65,158.59, 97,741.53 and 18,410.25 is: 27,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,158.59 : 97,741.53 = 18,410.25 : x
  2. Step 2: Convert to fraction form
    65,158.59/97,741.53 = 18,410.25/x
  3. Step 3: Cross multiply
    65,158.59x = 97,741.53 × 18,410.25
  4. Step 4: Simplify right side
    65,158.59x = 1,799,446,002.68
  5. Step 5: Solve for x
    x = 1,799,446,002.68/65,158.59
  6. Step 6: Final answer
    x = 27,616.40

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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.