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Finding the Fourth Proportional to 34,470.28, 47,567.36 and 20,130.84

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Solution

The fourth proportional to 34,470.28, 47,567.36 and 20,130.84 is: 27,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,470.28 : 47,567.36 = 20,130.84 : x
  2. Step 2: Convert to fraction form
    34,470.28/47,567.36 = 20,130.84/x
  3. Step 3: Cross multiply
    34,470.28x = 47,567.36 × 20,130.84
  4. Step 4: Simplify right side
    34,470.28x = 957,570,913.38
  5. Step 5: Solve for x
    x = 957,570,913.38/34,470.28
  6. Step 6: Final answer
    x = 27,779.61

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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.