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Finding the Fourth Proportional to 55,307.68, 76,322.96 and 31,436.96

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Solution

The fourth proportional to 55,307.68, 76,322.96 and 31,436.96 is: 43,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,307.68 : 76,322.96 = 31,436.96 : x
  2. Step 2: Convert to fraction form
    55,307.68/76,322.96 = 31,436.96/x
  3. Step 3: Cross multiply
    55,307.68x = 76,322.96 × 31,436.96
  4. Step 4: Simplify right side
    55,307.68x = 2,399,361,840.60
  5. Step 5: Solve for x
    x = 2,399,361,840.60/55,307.68
  6. Step 6: Final answer
    x = 43,382.07

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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.