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Finding the Fourth Proportional to 65,216.85, 97,846.27 and 29,690.88

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Solution

The fourth proportional to 65,216.85, 97,846.27 and 29,690.88 is: 44,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.85 : 97,846.27 = 29,690.88 : x
  2. Step 2: Convert to fraction form
    65,216.85/97,846.27 = 29,690.88/x
  3. Step 3: Cross multiply
    65,216.85x = 97,846.27 × 29,690.88
  4. Step 4: Simplify right side
    65,216.85x = 2,905,141,861.02
  5. Step 5: Solve for x
    x = 2,905,141,861.02/65,216.85
  6. Step 6: Final answer
    x = 44,545.88

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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.