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Finding the Fourth Proportional to 77,635.44, 116,457.48 and 22,230

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Solution

The fourth proportional to 77,635.44, 116,457.48 and 22,230 is: 33,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,635.44 : 116,457.48 = 22,230 : x
  2. Step 2: Convert to fraction form
    77,635.44/116,457.48 = 22,230/x
  3. Step 3: Cross multiply
    77,635.44x = 116,457.48 × 22,230
  4. Step 4: Simplify right side
    77,635.44x = 2,588,849,780.40
  5. Step 5: Solve for x
    x = 2,588,849,780.40/77,635.44
  6. Step 6: Final answer
    x = 33,346.24

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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.