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Finding the Fourth Proportional to 35,732.34, 49,308.93 and 19,816.44

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Solution

The fourth proportional to 35,732.34, 49,308.93 and 19,816.44 is: 27,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732.34 : 49,308.93 = 19,816.44 : x
  2. Step 2: Convert to fraction form
    35,732.34/49,308.93 = 19,816.44/x
  3. Step 3: Cross multiply
    35,732.34x = 49,308.93 × 19,816.44
  4. Step 4: Simplify right side
    35,732.34x = 977,127,452.81
  5. Step 5: Solve for x
    x = 977,127,452.81/35,732.34
  6. Step 6: Final answer
    x = 27,345.74

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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.