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Finding the Fourth Proportional to 61,854.42, 85,428.64 and 41,675.98

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Solution

The fourth proportional to 61,854.42, 85,428.64 and 41,675.98 is: 57,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,854.42 : 85,428.64 = 41,675.98 : x
  2. Step 2: Convert to fraction form
    61,854.42/85,428.64 = 41,675.98/x
  3. Step 3: Cross multiply
    61,854.42x = 85,428.64 × 41,675.98
  4. Step 4: Simplify right side
    61,854.42x = 3,560,322,292.07
  5. Step 5: Solve for x
    x = 3,560,322,292.07/61,854.42
  6. Step 6: Final answer
    x = 57,559.71

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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.