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Finding the Fourth Proportional to 56,696.64, 78,239.76 and 32,823.72

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Solution

The fourth proportional to 56,696.64, 78,239.76 and 32,823.72 is: 45,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,696.64 : 78,239.76 = 32,823.72 : x
  2. Step 2: Convert to fraction form
    56,696.64/78,239.76 = 32,823.72/x
  3. Step 3: Cross multiply
    56,696.64x = 78,239.76 × 32,823.72
  4. Step 4: Simplify right side
    56,696.64x = 2,568,119,975.11
  5. Step 5: Solve for x
    x = 2,568,119,975.11/56,696.64
  6. Step 6: Final answer
    x = 45,295.81

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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.