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Finding the Fourth Proportional to 35,773.09, 49,369.16 and 20,666.38

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Solution

The fourth proportional to 35,773.09, 49,369.16 and 20,666.38 is: 28,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,773.09 : 49,369.16 = 20,666.38 : x
  2. Step 2: Convert to fraction form
    35,773.09/49,369.16 = 20,666.38/x
  3. Step 3: Cross multiply
    35,773.09x = 49,369.16 × 20,666.38
  4. Step 4: Simplify right side
    35,773.09x = 1,020,281,820.84
  5. Step 5: Solve for x
    x = 1,020,281,820.84/35,773.09
  6. Step 6: Final answer
    x = 28,520.93

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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.