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Finding the Fourth Proportional to 35,817.96, 49,429 and 19,685.10

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Solution

The fourth proportional to 35,817.96, 49,429 and 19,685.10 is: 27,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.96 : 49,429 = 19,685.10 : x
  2. Step 2: Convert to fraction form
    35,817.96/49,429 = 19,685.10/x
  3. Step 3: Cross multiply
    35,817.96x = 49,429 × 19,685.10
  4. Step 4: Simplify right side
    35,817.96x = 973,014,807.90
  5. Step 5: Solve for x
    x = 973,014,807.90/35,817.96
  6. Step 6: Final answer
    x = 27,165.56

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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.