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Finding the Fourth Proportional to 35,650, 49,209.98 and 20,746

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Solution

The fourth proportional to 35,650, 49,209.98 and 20,746 is: 28,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650 : 49,209.98 = 20,746 : x
  2. Step 2: Convert to fraction form
    35,650/49,209.98 = 20,746/x
  3. Step 3: Cross multiply
    35,650x = 49,209.98 × 20,746
  4. Step 4: Simplify right side
    35,650x = 1,020,910,245.08
  5. Step 5: Solve for x
    x = 1,020,910,245.08/35,650
  6. Step 6: Final answer
    x = 28,637.03

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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.