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Finding the Fourth Proportional to 35,735.96, 49,305.58 and 28,158.80

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Solution

The fourth proportional to 35,735.96, 49,305.58 and 28,158.80 is: 38,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.96 : 49,305.58 = 28,158.80 : x
  2. Step 2: Convert to fraction form
    35,735.96/49,305.58 = 28,158.80/x
  3. Step 3: Cross multiply
    35,735.96x = 49,305.58 × 28,158.80
  4. Step 4: Simplify right side
    35,735.96x = 1,388,385,966.10
  5. Step 5: Solve for x
    x = 1,388,385,966.10/35,735.96
  6. Step 6: Final answer
    x = 38,851.23

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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.