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Finding the Fourth Proportional to 56,648.54, 84,923.13 and 21,564.86

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Solution

The fourth proportional to 56,648.54, 84,923.13 and 21,564.86 is: 32,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,648.54 : 84,923.13 = 21,564.86 : x
  2. Step 2: Convert to fraction form
    56,648.54/84,923.13 = 21,564.86/x
  3. Step 3: Cross multiply
    56,648.54x = 84,923.13 × 21,564.86
  4. Step 4: Simplify right side
    56,648.54x = 1,831,355,409.21
  5. Step 5: Solve for x
    x = 1,831,355,409.21/56,648.54
  6. Step 6: Final answer
    x = 32,328.38

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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.