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Finding the Fourth Proportional to 35,348, 48,780.24 and 20,444.96

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Solution

The fourth proportional to 35,348, 48,780.24 and 20,444.96 is: 28,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,348 : 48,780.24 = 20,444.96 : x
  2. Step 2: Convert to fraction form
    35,348/48,780.24 = 20,444.96/x
  3. Step 3: Cross multiply
    35,348x = 48,780.24 × 20,444.96
  4. Step 4: Simplify right side
    35,348x = 997,310,055.59
  5. Step 5: Solve for x
    x = 997,310,055.59/35,348
  6. Step 6: Final answer
    x = 28,214.04

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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.