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Finding the Fourth Proportional to 61,884.12, 92,834.82 and 30,711

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Solution

The fourth proportional to 61,884.12, 92,834.82 and 30,711 is: 46,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,884.12 : 92,834.82 = 30,711 : x
  2. Step 2: Convert to fraction form
    61,884.12/92,834.82 = 30,711/x
  3. Step 3: Cross multiply
    61,884.12x = 92,834.82 × 30,711
  4. Step 4: Simplify right side
    61,884.12x = 2,851,050,157.02
  5. Step 5: Solve for x
    x = 2,851,050,157.02/61,884.12
  6. Step 6: Final answer
    x = 46,070.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.