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Finding the Fourth Proportional to 35,814.80, 49,423.56 and 19,898.48

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Solution

The fourth proportional to 35,814.80, 49,423.56 and 19,898.48 is: 27,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.80 : 49,423.56 = 19,898.48 : x
  2. Step 2: Convert to fraction form
    35,814.80/49,423.56 = 19,898.48/x
  3. Step 3: Cross multiply
    35,814.80x = 49,423.56 × 19,898.48
  4. Step 4: Simplify right side
    35,814.80x = 983,453,720.19
  5. Step 5: Solve for x
    x = 983,453,720.19/35,814.80
  6. Step 6: Final answer
    x = 27,459.42

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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.