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Finding the Fourth Proportional to 61,421.66, 84,766.89 and 34,562.60

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Solution

The fourth proportional to 61,421.66, 84,766.89 and 34,562.60 is: 47,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,421.66 : 84,766.89 = 34,562.60 : x
  2. Step 2: Convert to fraction form
    61,421.66/84,766.89 = 34,562.60/x
  3. Step 3: Cross multiply
    61,421.66x = 84,766.89 × 34,562.60
  4. Step 4: Simplify right side
    61,421.66x = 2,929,764,112.31
  5. Step 5: Solve for x
    x = 2,929,764,112.31/61,421.66
  6. Step 6: Final answer
    x = 47,699.20

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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.