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Finding the Fourth Proportional to 35,898.40, 49,539.39 and 19,765.38

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Solution

The fourth proportional to 35,898.40, 49,539.39 and 19,765.38 is: 27,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.40 : 49,539.39 = 19,765.38 : x
  2. Step 2: Convert to fraction form
    35,898.40/49,539.39 = 19,765.38/x
  3. Step 3: Cross multiply
    35,898.40x = 49,539.39 × 19,765.38
  4. Step 4: Simplify right side
    35,898.40x = 979,164,868.32
  5. Step 5: Solve for x
    x = 979,164,868.32/35,898.40
  6. Step 6: Final answer
    x = 27,276.00

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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.