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Finding the Fourth Proportional to 34,587.80, 47,735.80 and 20,252

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Solution

The fourth proportional to 34,587.80, 47,735.80 and 20,252 is: 27,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,587.80 : 47,735.80 = 20,252 : x
  2. Step 2: Convert to fraction form
    34,587.80/47,735.80 = 20,252/x
  3. Step 3: Cross multiply
    34,587.80x = 47,735.80 × 20,252
  4. Step 4: Simplify right side
    34,587.80x = 966,745,421.60
  5. Step 5: Solve for x
    x = 966,745,421.60/34,587.80
  6. Step 6: Final answer
    x = 27,950.47

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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.