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Finding the Fourth Proportional to 35,814.69, 49,423.91 and 19,898.80

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Solution

The fourth proportional to 35,814.69, 49,423.91 and 19,898.80 is: 27,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.69 : 49,423.91 = 19,898.80 : x
  2. Step 2: Convert to fraction form
    35,814.69/49,423.91 = 19,898.80/x
  3. Step 3: Cross multiply
    35,814.69x = 49,423.91 × 19,898.80
  4. Step 4: Simplify right side
    35,814.69x = 983,476,426.50
  5. Step 5: Solve for x
    x = 983,476,426.50/35,814.69
  6. Step 6: Final answer
    x = 27,460.14

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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.