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Finding the Fourth Proportional to 52,013.80, 71,779.05 and 28,140.46

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Solution

The fourth proportional to 52,013.80, 71,779.05 and 28,140.46 is: 38,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.80 : 71,779.05 = 28,140.46 : x
  2. Step 2: Convert to fraction form
    52,013.80/71,779.05 = 28,140.46/x
  3. Step 3: Cross multiply
    52,013.80x = 71,779.05 × 28,140.46
  4. Step 4: Simplify right side
    52,013.80x = 2,019,895,485.36
  5. Step 5: Solve for x
    x = 2,019,895,485.36/52,013.80
  6. Step 6: Final answer
    x = 38,833.84

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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.