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Finding the Fourth Proportional to 34,191.90, 51,293.25 and 14,470.56

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Solution

The fourth proportional to 34,191.90, 51,293.25 and 14,470.56 is: 21,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.90 : 51,293.25 = 14,470.56 : x
  2. Step 2: Convert to fraction form
    34,191.90/51,293.25 = 14,470.56/x
  3. Step 3: Cross multiply
    34,191.90x = 51,293.25 × 14,470.56
  4. Step 4: Simplify right side
    34,191.90x = 742,242,051.72
  5. Step 5: Solve for x
    x = 742,242,051.72/34,191.90
  6. Step 6: Final answer
    x = 21,708.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.