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Finding the Fourth Proportional to 35,990.95, 49,666.38 and 20,078.11

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Solution

The fourth proportional to 35,990.95, 49,666.38 and 20,078.11 is: 27,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,990.95 : 49,666.38 = 20,078.11 : x
  2. Step 2: Convert to fraction form
    35,990.95/49,666.38 = 20,078.11/x
  3. Step 3: Cross multiply
    35,990.95x = 49,666.38 × 20,078.11
  4. Step 4: Simplify right side
    35,990.95x = 997,207,040.94
  5. Step 5: Solve for x
    x = 997,207,040.94/35,990.95
  6. Step 6: Final answer
    x = 27,707.16

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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.