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Finding the Fourth Proportional to 81,703.41, 112,733.22 and 47,696.46

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Solution

The fourth proportional to 81,703.41, 112,733.22 and 47,696.46 is: 65,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.41 : 112,733.22 = 47,696.46 : x
  2. Step 2: Convert to fraction form
    81,703.41/112,733.22 = 47,696.46/x
  3. Step 3: Cross multiply
    81,703.41x = 112,733.22 × 47,696.46
  4. Step 4: Simplify right side
    81,703.41x = 5,376,975,561.75
  5. Step 5: Solve for x
    x = 5,376,975,561.75/81,703.41
  6. Step 6: Final answer
    x = 65,810.91

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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.