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Finding the Fourth Proportional to 97,604.02, 146,404.50 and 31,043.20

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Solution

The fourth proportional to 97,604.02, 146,404.50 and 31,043.20 is: 46,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,604.02 : 146,404.50 = 31,043.20 : x
  2. Step 2: Convert to fraction form
    97,604.02/146,404.50 = 31,043.20/x
  3. Step 3: Cross multiply
    97,604.02x = 146,404.50 × 31,043.20
  4. Step 4: Simplify right side
    97,604.02x = 4,544,864,174.40
  5. Step 5: Solve for x
    x = 4,544,864,174.40/97,604.02
  6. Step 6: Final answer
    x = 46,564.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.