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Finding the Fourth Proportional to 65,077.98, 97,605.45 and 18,330.54

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Solution

The fourth proportional to 65,077.98, 97,605.45 and 18,330.54 is: 27,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077.98 : 97,605.45 = 18,330.54 : x
  2. Step 2: Convert to fraction form
    65,077.98/97,605.45 = 18,330.54/x
  3. Step 3: Cross multiply
    65,077.98x = 97,605.45 × 18,330.54
  4. Step 4: Simplify right side
    65,077.98x = 1,789,160,605.44
  5. Step 5: Solve for x
    x = 1,789,160,605.44/65,077.98
  6. Step 6: Final answer
    x = 27,492.57

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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.