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Finding the Fourth Proportional to 39,156.83, 54,011.84 and 23,230

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Solution

The fourth proportional to 39,156.83, 54,011.84 and 23,230 is: 32,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,156.83 : 54,011.84 = 23,230 : x
  2. Step 2: Convert to fraction form
    39,156.83/54,011.84 = 23,230/x
  3. Step 3: Cross multiply
    39,156.83x = 54,011.84 × 23,230
  4. Step 4: Simplify right side
    39,156.83x = 1,254,695,043.20
  5. Step 5: Solve for x
    x = 1,254,695,043.20/39,156.83
  6. Step 6: Final answer
    x = 32,042.81

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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.