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Finding the Fourth Proportional to 51,668, 77,502.72 and 14,732

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Solution

The fourth proportional to 51,668, 77,502.72 and 14,732 is: 22,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,668 : 77,502.72 = 14,732 : x
  2. Step 2: Convert to fraction form
    51,668/77,502.72 = 14,732/x
  3. Step 3: Cross multiply
    51,668x = 77,502.72 × 14,732
  4. Step 4: Simplify right side
    51,668x = 1,141,770,071.04
  5. Step 5: Solve for x
    x = 1,141,770,071.04/51,668
  6. Step 6: Final answer
    x = 22,098.21

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Why These Related Problems?

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