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Finding the Fourth Proportional to 61,989, 85,534.24 and 35,125.96

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Solution

The fourth proportional to 61,989, 85,534.24 and 35,125.96 is: 48,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,989 : 85,534.24 = 35,125.96 : x
  2. Step 2: Convert to fraction form
    61,989/85,534.24 = 35,125.96/x
  3. Step 3: Cross multiply
    61,989x = 85,534.24 × 35,125.96
  4. Step 4: Simplify right side
    61,989x = 3,004,472,292.87
  5. Step 5: Solve for x
    x = 3,004,472,292.87/61,989
  6. Step 6: Final answer
    x = 48,467.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.