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Finding the Fourth Proportional to 75,205.92, 103,779.84 and 41,207.76

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Solution

The fourth proportional to 75,205.92, 103,779.84 and 41,207.76 is: 56,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.92 : 103,779.84 = 41,207.76 : x
  2. Step 2: Convert to fraction form
    75,205.92/103,779.84 = 41,207.76/x
  3. Step 3: Cross multiply
    75,205.92x = 103,779.84 × 41,207.76
  4. Step 4: Simplify right side
    75,205.92x = 4,276,534,739.56
  5. Step 5: Solve for x
    x = 4,276,534,739.56/75,205.92
  6. Step 6: Final answer
    x = 56,864.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.