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Finding the Fourth Proportional to 81,835.01, 122,752.53 and 22,670.71

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Solution

The fourth proportional to 81,835.01, 122,752.53 and 22,670.71 is: 34,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,835.01 : 122,752.53 = 22,670.71 : x
  2. Step 2: Convert to fraction form
    81,835.01/122,752.53 = 22,670.71/x
  3. Step 3: Cross multiply
    81,835.01x = 122,752.53 × 22,670.71
  4. Step 4: Simplify right side
    81,835.01x = 2,782,886,395.63
  5. Step 5: Solve for x
    x = 2,782,886,395.63/81,835.01
  6. Step 6: Final answer
    x = 34,006.06

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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.