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Finding the Fourth Proportional to 35,730.60, 49,304.75 and 19,814.72

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Solution

The fourth proportional to 35,730.60, 49,304.75 and 19,814.72 is: 27,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.60 : 49,304.75 = 19,814.72 : x
  2. Step 2: Convert to fraction form
    35,730.60/49,304.75 = 19,814.72/x
  3. Step 3: Cross multiply
    35,730.60x = 49,304.75 × 19,814.72
  4. Step 4: Simplify right side
    35,730.60x = 976,959,470.32
  5. Step 5: Solve for x
    x = 976,959,470.32/35,730.60
  6. Step 6: Final answer
    x = 27,342.38

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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.