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Finding the Fourth Proportional to 37,312.87, 55,696.30 and 32,884.33

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Solution

The fourth proportional to 37,312.87, 55,696.30 and 32,884.33 is: 49,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312.87 : 55,696.30 = 32,884.33 : x
  2. Step 2: Convert to fraction form
    37,312.87/55,696.30 = 32,884.33/x
  3. Step 3: Cross multiply
    37,312.87x = 55,696.30 × 32,884.33
  4. Step 4: Simplify right side
    37,312.87x = 1,831,535,508.98
  5. Step 5: Solve for x
    x = 1,831,535,508.98/37,312.87
  6. Step 6: Final answer
    x = 49,085.89

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Why These Related Problems?

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