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Finding the Fourth Proportional to 31,451.34, 46,946.54 and 27,320.34

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Solution

The fourth proportional to 31,451.34, 46,946.54 and 27,320.34 is: 40,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.34 : 46,946.54 = 27,320.34 : x
  2. Step 2: Convert to fraction form
    31,451.34/46,946.54 = 27,320.34/x
  3. Step 3: Cross multiply
    31,451.34x = 46,946.54 × 27,320.34
  4. Step 4: Simplify right side
    31,451.34x = 1,282,595,434.62
  5. Step 5: Solve for x
    x = 1,282,595,434.62/31,451.34
  6. Step 6: Final answer
    x = 40,780.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.