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Finding the Fourth Proportional to 47,779.92, 65,933.46 and 26,558.46

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Solution

The fourth proportional to 47,779.92, 65,933.46 and 26,558.46 is: 36,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.92 : 65,933.46 = 26,558.46 : x
  2. Step 2: Convert to fraction form
    47,779.92/65,933.46 = 26,558.46/x
  3. Step 3: Cross multiply
    47,779.92x = 65,933.46 × 26,558.46
  4. Step 4: Simplify right side
    47,779.92x = 1,751,091,160.07
  5. Step 5: Solve for x
    x = 1,751,091,160.07/47,779.92
  6. Step 6: Final answer
    x = 36,649.10

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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.