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Finding the Fourth Proportional to 35,898.60, 49,541.04 and 19,982.10

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Solution

The fourth proportional to 35,898.60, 49,541.04 and 19,982.10 is: 27,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.60 : 49,541.04 = 19,982.10 : x
  2. Step 2: Convert to fraction form
    35,898.60/49,541.04 = 19,982.10/x
  3. Step 3: Cross multiply
    35,898.60x = 49,541.04 × 19,982.10
  4. Step 4: Simplify right side
    35,898.60x = 989,934,015.38
  5. Step 5: Solve for x
    x = 989,934,015.38/35,898.60
  6. Step 6: Final answer
    x = 27,575.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.