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Finding the Fourth Proportional to 39,262, 54,182.10 and 22,495

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Solution

The fourth proportional to 39,262, 54,182.10 and 22,495 is: 31,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,262 : 54,182.10 = 22,495 : x
  2. Step 2: Convert to fraction form
    39,262/54,182.10 = 22,495/x
  3. Step 3: Cross multiply
    39,262x = 54,182.10 × 22,495
  4. Step 4: Simplify right side
    39,262x = 1,218,826,339.50
  5. Step 5: Solve for x
    x = 1,218,826,339.50/39,262
  6. Step 6: Final answer
    x = 31,043.41

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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.