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Finding the Fourth Proportional to 57,821.90, 86,673.76 and 32,809.11

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Solution

The fourth proportional to 57,821.90, 86,673.76 and 32,809.11 is: 49,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,821.90 : 86,673.76 = 32,809.11 : x
  2. Step 2: Convert to fraction form
    57,821.90/86,673.76 = 32,809.11/x
  3. Step 3: Cross multiply
    57,821.90x = 86,673.76 × 32,809.11
  4. Step 4: Simplify right side
    57,821.90x = 2,843,688,518.90
  5. Step 5: Solve for x
    x = 2,843,688,518.90/57,821.90
  6. Step 6: Final answer
    x = 49,180.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.