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Finding the Fourth Proportional to 51,752.01, 77,627.85 and 14,311.99

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Solution

The fourth proportional to 51,752.01, 77,627.85 and 14,311.99 is: 21,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.01 : 77,627.85 = 14,311.99 : x
  2. Step 2: Convert to fraction form
    51,752.01/77,627.85 = 14,311.99/x
  3. Step 3: Cross multiply
    51,752.01x = 77,627.85 × 14,311.99
  4. Step 4: Simplify right side
    51,752.01x = 1,111,009,012.92
  5. Step 5: Solve for x
    x = 1,111,009,012.92/51,752.01
  6. Step 6: Final answer
    x = 21,467.94

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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.