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Finding the Fourth Proportional to 35,730.46, 49,304.78 and 19,814.86

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Solution

The fourth proportional to 35,730.46, 49,304.78 and 19,814.86 is: 27,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.46 : 49,304.78 = 19,814.86 : x
  2. Step 2: Convert to fraction form
    35,730.46/49,304.78 = 19,814.86/x
  3. Step 3: Cross multiply
    35,730.46x = 49,304.78 × 19,814.86
  4. Step 4: Simplify right side
    35,730.46x = 976,967,313.03
  5. Step 5: Solve for x
    x = 976,967,313.03/35,730.46
  6. Step 6: Final answer
    x = 27,342.70

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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.