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Finding the Fourth Proportional to 83,779.94, 115,638.10 and 55,475.30

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Solution

The fourth proportional to 83,779.94, 115,638.10 and 55,475.30 is: 76,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,779.94 : 115,638.10 = 55,475.30 : x
  2. Step 2: Convert to fraction form
    83,779.94/115,638.10 = 55,475.30/x
  3. Step 3: Cross multiply
    83,779.94x = 115,638.10 × 55,475.30
  4. Step 4: Simplify right side
    83,779.94x = 6,415,058,288.93
  5. Step 5: Solve for x
    x = 6,415,058,288.93/83,779.94
  6. Step 6: Final answer
    x = 76,570.34

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