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Finding the Fourth Proportional to 34,148.52, 47,129.58 and 20,007

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Solution

The fourth proportional to 34,148.52, 47,129.58 and 20,007 is: 27,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,148.52 : 47,129.58 = 20,007 : x
  2. Step 2: Convert to fraction form
    34,148.52/47,129.58 = 20,007/x
  3. Step 3: Cross multiply
    34,148.52x = 47,129.58 × 20,007
  4. Step 4: Simplify right side
    34,148.52x = 942,921,507.06
  5. Step 5: Solve for x
    x = 942,921,507.06/34,148.52
  6. Step 6: Final answer
    x = 27,612.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.