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Finding the Fourth Proportional to 55,582, 83,388.62 and 22,325.41

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Solution

The fourth proportional to 55,582, 83,388.62 and 22,325.41 is: 33,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,582 : 83,388.62 = 22,325.41 : x
  2. Step 2: Convert to fraction form
    55,582/83,388.62 = 22,325.41/x
  3. Step 3: Cross multiply
    55,582x = 83,388.62 × 22,325.41
  4. Step 4: Simplify right side
    55,582x = 1,861,685,130.83
  5. Step 5: Solve for x
    x = 1,861,685,130.83/55,582
  6. Step 6: Final answer
    x = 33,494.39

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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.