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Finding the Fourth Proportional to 76,779.51, 105,893.07 and 64,467.38

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Solution

The fourth proportional to 76,779.51, 105,893.07 and 64,467.38 is: 88,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,779.51 : 105,893.07 = 64,467.38 : x
  2. Step 2: Convert to fraction form
    76,779.51/105,893.07 = 64,467.38/x
  3. Step 3: Cross multiply
    76,779.51x = 105,893.07 × 64,467.38
  4. Step 4: Simplify right side
    76,779.51x = 6,826,648,253.59
  5. Step 5: Solve for x
    x = 6,826,648,253.59/76,779.51
  6. Step 6: Final answer
    x = 88,912.37

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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.