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Finding the Fourth Proportional to 65,510.85, 98,242.10 and 23,379.67

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Solution

The fourth proportional to 65,510.85, 98,242.10 and 23,379.67 is: 35,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,510.85 : 98,242.10 = 23,379.67 : x
  2. Step 2: Convert to fraction form
    65,510.85/98,242.10 = 23,379.67/x
  3. Step 3: Cross multiply
    65,510.85x = 98,242.10 × 23,379.67
  4. Step 4: Simplify right side
    65,510.85x = 2,296,867,878.11
  5. Step 5: Solve for x
    x = 2,296,867,878.11/65,510.85
  6. Step 6: Final answer
    x = 35,060.88

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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.