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Finding the Fourth Proportional to 64,580.46, 96,914.77 and 22,460.12

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Solution

The fourth proportional to 64,580.46, 96,914.77 and 22,460.12 is: 33,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,580.46 : 96,914.77 = 22,460.12 : x
  2. Step 2: Convert to fraction form
    64,580.46/96,914.77 = 22,460.12/x
  3. Step 3: Cross multiply
    64,580.46x = 96,914.77 × 22,460.12
  4. Step 4: Simplify right side
    64,580.46x = 2,176,717,363.97
  5. Step 5: Solve for x
    x = 2,176,717,363.97/64,580.46
  6. Step 6: Final answer
    x = 33,705.51

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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.