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Finding the Fourth Proportional to 37,423.13, 51,642.63 and 22,308

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Solution

The fourth proportional to 37,423.13, 51,642.63 and 22,308 is: 30,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,423.13 : 51,642.63 = 22,308 : x
  2. Step 2: Convert to fraction form
    37,423.13/51,642.63 = 22,308/x
  3. Step 3: Cross multiply
    37,423.13x = 51,642.63 × 22,308
  4. Step 4: Simplify right side
    37,423.13x = 1,152,043,790.04
  5. Step 5: Solve for x
    x = 1,152,043,790.04/37,423.13
  6. Step 6: Final answer
    x = 30,784.27

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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.