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Finding the Fourth Proportional to 35,507.90, 49,003.84 and 20,403.49

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Solution

The fourth proportional to 35,507.90, 49,003.84 and 20,403.49 is: 28,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.90 : 49,003.84 = 20,403.49 : x
  2. Step 2: Convert to fraction form
    35,507.90/49,003.84 = 20,403.49/x
  3. Step 3: Cross multiply
    35,507.90x = 49,003.84 × 20,403.49
  4. Step 4: Simplify right side
    35,507.90x = 999,849,257.38
  5. Step 5: Solve for x
    x = 999,849,257.38/35,507.90
  6. Step 6: Final answer
    x = 28,158.51

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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.