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Finding the Fourth Proportional to 39,340, 54,289.74 and 22,573

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Solution

The fourth proportional to 39,340, 54,289.74 and 22,573 is: 31,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,340 : 54,289.74 = 22,573 : x
  2. Step 2: Convert to fraction form
    39,340/54,289.74 = 22,573/x
  3. Step 3: Cross multiply
    39,340x = 54,289.74 × 22,573
  4. Step 4: Simplify right side
    39,340x = 1,225,482,301.02
  5. Step 5: Solve for x
    x = 1,225,482,301.02/39,340
  6. Step 6: Final answer
    x = 31,151.05

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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.