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Finding the Fourth Proportional to 56,852.02, 78,452.88 and 31,696.66

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Solution

The fourth proportional to 56,852.02, 78,452.88 and 31,696.66 is: 43,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852.02 : 78,452.88 = 31,696.66 : x
  2. Step 2: Convert to fraction form
    56,852.02/78,452.88 = 31,696.66/x
  3. Step 3: Cross multiply
    56,852.02x = 78,452.88 × 31,696.66
  4. Step 4: Simplify right side
    56,852.02x = 2,486,694,263.38
  5. Step 5: Solve for x
    x = 2,486,694,263.38/56,852.02
  6. Step 6: Final answer
    x = 43,739.77

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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.