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Finding the Fourth Proportional to 97,607.88, 146,435.16 and 33,564.96

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Solution

The fourth proportional to 97,607.88, 146,435.16 and 33,564.96 is: 50,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,607.88 : 146,435.16 = 33,564.96 : x
  2. Step 2: Convert to fraction form
    97,607.88/146,435.16 = 33,564.96/x
  3. Step 3: Cross multiply
    97,607.88x = 146,435.16 × 33,564.96
  4. Step 4: Simplify right side
    97,607.88x = 4,915,090,287.99
  5. Step 5: Solve for x
    x = 4,915,090,287.99/97,607.88
  6. Step 6: Final answer
    x = 50,355.47

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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.