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Finding the Fourth Proportional to 69,205.10, 103,807.65 and 65,749.10

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Solution

The fourth proportional to 69,205.10, 103,807.65 and 65,749.10 is: 98,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,205.10 : 103,807.65 = 65,749.10 : x
  2. Step 2: Convert to fraction form
    69,205.10/103,807.65 = 65,749.10/x
  3. Step 3: Cross multiply
    69,205.10x = 103,807.65 × 65,749.10
  4. Step 4: Simplify right side
    69,205.10x = 6,825,259,560.62
  5. Step 5: Solve for x
    x = 6,825,259,560.62/69,205.10
  6. Step 6: Final answer
    x = 98,623.65

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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.