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Finding the Fourth Proportional to 81,456.16, 122,214.48 and 26,056.48

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Solution

The fourth proportional to 81,456.16, 122,214.48 and 26,056.48 is: 39,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456.16 : 122,214.48 = 26,056.48 : x
  2. Step 2: Convert to fraction form
    81,456.16/122,214.48 = 26,056.48/x
  3. Step 3: Cross multiply
    81,456.16x = 122,214.48 × 26,056.48
  4. Step 4: Simplify right side
    81,456.16x = 3,184,479,153.83
  5. Step 5: Solve for x
    x = 3,184,479,153.83/81,456.16
  6. Step 6: Final answer
    x = 39,094.39

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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.