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Finding the Fourth Proportional to 56,160.82, 84,269.07 and 31,200.82

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Solution

The fourth proportional to 56,160.82, 84,269.07 and 31,200.82 is: 46,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,160.82 : 84,269.07 = 31,200.82 : x
  2. Step 2: Convert to fraction form
    56,160.82/84,269.07 = 31,200.82/x
  3. Step 3: Cross multiply
    56,160.82x = 84,269.07 × 31,200.82
  4. Step 4: Simplify right side
    56,160.82x = 2,629,264,084.64
  5. Step 5: Solve for x
    x = 2,629,264,084.64/56,160.82
  6. Step 6: Final answer
    x = 46,816.70

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Why These Related Problems?

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