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Finding the Fourth Proportional to 35,612.38, 49,130.23 and 20,501.42

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Solution

The fourth proportional to 35,612.38, 49,130.23 and 20,501.42 is: 28,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612.38 : 49,130.23 = 20,501.42 : x
  2. Step 2: Convert to fraction form
    35,612.38/49,130.23 = 20,501.42/x
  3. Step 3: Cross multiply
    35,612.38x = 49,130.23 × 20,501.42
  4. Step 4: Simplify right side
    35,612.38x = 1,007,239,479.93
  5. Step 5: Solve for x
    x = 1,007,239,479.93/35,612.38
  6. Step 6: Final answer
    x = 28,283.41

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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.