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Finding the Fourth Proportional to 34,894.19, 48,166.51 and 20,747

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Solution

The fourth proportional to 34,894.19, 48,166.51 and 20,747 is: 28,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.19 : 48,166.51 = 20,747 : x
  2. Step 2: Convert to fraction form
    34,894.19/48,166.51 = 20,747/x
  3. Step 3: Cross multiply
    34,894.19x = 48,166.51 × 20,747
  4. Step 4: Simplify right side
    34,894.19x = 999,310,582.97
  5. Step 5: Solve for x
    x = 999,310,582.97/34,894.19
  6. Step 6: Final answer
    x = 28,638.31

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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.