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Finding the Fourth Proportional to 65,243.60, 97,829.79 and 19,644.65

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Solution

The fourth proportional to 65,243.60, 97,829.79 and 19,644.65 is: 29,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,243.60 : 97,829.79 = 19,644.65 : x
  2. Step 2: Convert to fraction form
    65,243.60/97,829.79 = 19,644.65/x
  3. Step 3: Cross multiply
    65,243.60x = 97,829.79 × 19,644.65
  4. Step 4: Simplify right side
    65,243.60x = 1,921,832,448.96
  5. Step 5: Solve for x
    x = 1,921,832,448.96/65,243.60
  6. Step 6: Final answer
    x = 29,456.26

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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.