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Finding the Fourth Proportional to 40,246.52, 55,539.16 and 22,341

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Solution

The fourth proportional to 40,246.52, 55,539.16 and 22,341 is: 30,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246.52 : 55,539.16 = 22,341 : x
  2. Step 2: Convert to fraction form
    40,246.52/55,539.16 = 22,341/x
  3. Step 3: Cross multiply
    40,246.52x = 55,539.16 × 22,341
  4. Step 4: Simplify right side
    40,246.52x = 1,240,800,373.56
  5. Step 5: Solve for x
    x = 1,240,800,373.56/40,246.52
  6. Step 6: Final answer
    x = 30,830.00

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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.