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Finding the Fourth Proportional to 53,813.57, 80,721.36 and 30,107.70

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Solution

The fourth proportional to 53,813.57, 80,721.36 and 30,107.70 is: 45,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.57 : 80,721.36 = 30,107.70 : x
  2. Step 2: Convert to fraction form
    53,813.57/80,721.36 = 30,107.70/x
  3. Step 3: Cross multiply
    53,813.57x = 80,721.36 × 30,107.70
  4. Step 4: Simplify right side
    53,813.57x = 2,430,334,490.47
  5. Step 5: Solve for x
    x = 2,430,334,490.47/53,813.57
  6. Step 6: Final answer
    x = 45,162.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.