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Finding the Fourth Proportional to 56,509.80, 84,792.24 and 23,239.84

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Solution

The fourth proportional to 56,509.80, 84,792.24 and 23,239.84 is: 34,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509.80 : 84,792.24 = 23,239.84 : x
  2. Step 2: Convert to fraction form
    56,509.80/84,792.24 = 23,239.84/x
  3. Step 3: Cross multiply
    56,509.80x = 84,792.24 × 23,239.84
  4. Step 4: Simplify right side
    56,509.80x = 1,970,558,090.84
  5. Step 5: Solve for x
    x = 1,970,558,090.84/56,509.80
  6. Step 6: Final answer
    x = 34,871.09

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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.