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Finding the Fourth Proportional to 42,009.60, 62,992.52 and 19,817

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Solution

The fourth proportional to 42,009.60, 62,992.52 and 19,817 is: 29,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009.60 : 62,992.52 = 19,817 : x
  2. Step 2: Convert to fraction form
    42,009.60/62,992.52 = 19,817/x
  3. Step 3: Cross multiply
    42,009.60x = 62,992.52 × 19,817
  4. Step 4: Simplify right side
    42,009.60x = 1,248,322,768.84
  5. Step 5: Solve for x
    x = 1,248,322,768.84/42,009.60
  6. Step 6: Final answer
    x = 29,715.18

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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.