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Finding the Fourth Proportional to 52,014.30, 71,779.74 and 28,140.96

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Solution

The fourth proportional to 52,014.30, 71,779.74 and 28,140.96 is: 38,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.30 : 71,779.74 = 28,140.96 : x
  2. Step 2: Convert to fraction form
    52,014.30/71,779.74 = 28,140.96/x
  3. Step 3: Cross multiply
    52,014.30x = 71,779.74 × 28,140.96
  4. Step 4: Simplify right side
    52,014.30x = 2,019,950,792.15
  5. Step 5: Solve for x
    x = 2,019,950,792.15/52,014.30
  6. Step 6: Final answer
    x = 38,834.53

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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.