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Finding the Fourth Proportional to 97,709.85, 146,564.37 and 41,541.21

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Solution

The fourth proportional to 97,709.85, 146,564.37 and 41,541.21 is: 62,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,709.85 : 146,564.37 = 41,541.21 : x
  2. Step 2: Convert to fraction form
    97,709.85/146,564.37 = 41,541.21/x
  3. Step 3: Cross multiply
    97,709.85x = 146,564.37 × 41,541.21
  4. Step 4: Simplify right side
    97,709.85x = 6,088,461,272.69
  5. Step 5: Solve for x
    x = 6,088,461,272.69/97,709.85
  6. Step 6: Final answer
    x = 62,311.64

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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.