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Finding the Fourth Proportional to 59,830.89, 82,567.20 and 32,974.38

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Solution

The fourth proportional to 59,830.89, 82,567.20 and 32,974.38 is: 45,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,830.89 : 82,567.20 = 32,974.38 : x
  2. Step 2: Convert to fraction form
    59,830.89/82,567.20 = 32,974.38/x
  3. Step 3: Cross multiply
    59,830.89x = 82,567.20 × 32,974.38
  4. Step 4: Simplify right side
    59,830.89x = 2,722,602,228.34
  5. Step 5: Solve for x
    x = 2,722,602,228.34/59,830.89
  6. Step 6: Final answer
    x = 45,504.96

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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.