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Finding the Fourth Proportional to 51,911.30, 77,866.99 and 14,471.48

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Solution

The fourth proportional to 51,911.30, 77,866.99 and 14,471.48 is: 21,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,911.30 : 77,866.99 = 14,471.48 : x
  2. Step 2: Convert to fraction form
    51,911.30/77,866.99 = 14,471.48/x
  3. Step 3: Cross multiply
    51,911.30x = 77,866.99 × 14,471.48
  4. Step 4: Simplify right side
    51,911.30x = 1,126,850,746.93
  5. Step 5: Solve for x
    x = 1,126,850,746.93/51,911.30
  6. Step 6: Final answer
    x = 21,707.23

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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.