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Finding the Fourth Proportional to 65,307.70, 97,879.56 and 35,320.75

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Solution

The fourth proportional to 65,307.70, 97,879.56 and 35,320.75 is: 52,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,307.70 : 97,879.56 = 35,320.75 : x
  2. Step 2: Convert to fraction form
    65,307.70/97,879.56 = 35,320.75/x
  3. Step 3: Cross multiply
    65,307.70x = 97,879.56 × 35,320.75
  4. Step 4: Simplify right side
    65,307.70x = 3,457,179,173.10
  5. Step 5: Solve for x
    x = 3,457,179,173.10/65,307.70
  6. Step 6: Final answer
    x = 52,936.77

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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.