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Finding the Fourth Proportional to 52,129.12, 71,891.70 and 40,646.84

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Solution

The fourth proportional to 52,129.12, 71,891.70 and 40,646.84 is: 56,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.12 : 71,891.70 = 40,646.84 : x
  2. Step 2: Convert to fraction form
    52,129.12/71,891.70 = 40,646.84/x
  3. Step 3: Cross multiply
    52,129.12x = 71,891.70 × 40,646.84
  4. Step 4: Simplify right side
    52,129.12x = 2,922,170,427.23
  5. Step 5: Solve for x
    x = 2,922,170,427.23/52,129.12
  6. Step 6: Final answer
    x = 56,056.39

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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.