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Finding the Fourth Proportional to 65,202.34, 97,802.46 and 20,828.80

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Solution

The fourth proportional to 65,202.34, 97,802.46 and 20,828.80 is: 31,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.34 : 97,802.46 = 20,828.80 : x
  2. Step 2: Convert to fraction form
    65,202.34/97,802.46 = 20,828.80/x
  3. Step 3: Cross multiply
    65,202.34x = 97,802.46 × 20,828.80
  4. Step 4: Simplify right side
    65,202.34x = 2,037,107,878.85
  5. Step 5: Solve for x
    x = 2,037,107,878.85/65,202.34
  6. Step 6: Final answer
    x = 31,242.86

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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.