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Finding the Fourth Proportional to 34,409.38, 47,485.02 and 20,079.07

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Solution

The fourth proportional to 34,409.38, 47,485.02 and 20,079.07 is: 27,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.38 : 47,485.02 = 20,079.07 : x
  2. Step 2: Convert to fraction form
    34,409.38/47,485.02 = 20,079.07/x
  3. Step 3: Cross multiply
    34,409.38x = 47,485.02 × 20,079.07
  4. Step 4: Simplify right side
    34,409.38x = 953,455,040.53
  5. Step 5: Solve for x
    x = 953,455,040.53/34,409.38
  6. Step 6: Final answer
    x = 27,709.16

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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.