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Finding the Fourth Proportional to 34,191.65, 51,292.88 and 14,470.31

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Solution

The fourth proportional to 34,191.65, 51,292.88 and 14,470.31 is: 21,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.65 : 51,292.88 = 14,470.31 : x
  2. Step 2: Convert to fraction form
    34,191.65/51,292.88 = 14,470.31/x
  3. Step 3: Cross multiply
    34,191.65x = 51,292.88 × 14,470.31
  4. Step 4: Simplify right side
    34,191.65x = 742,223,802.04
  5. Step 5: Solve for x
    x = 742,223,802.04/34,191.65
  6. Step 6: Final answer
    x = 21,707.75

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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.