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Finding the Fourth Proportional to 65,273.85, 97,911.99 and 52,283.07

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Solution

The fourth proportional to 65,273.85, 97,911.99 and 52,283.07 is: 78,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273.85 : 97,911.99 = 52,283.07 : x
  2. Step 2: Convert to fraction form
    65,273.85/97,911.99 = 52,283.07/x
  3. Step 3: Cross multiply
    65,273.85x = 97,911.99 × 52,283.07
  4. Step 4: Simplify right side
    65,273.85x = 5,119,139,427.01
  5. Step 5: Solve for x
    x = 5,119,139,427.01/65,273.85
  6. Step 6: Final answer
    x = 78,425.58

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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.