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Finding the Fourth Proportional to 55,460.60, 83,223.84 and 20,424.84

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Solution

The fourth proportional to 55,460.60, 83,223.84 and 20,424.84 is: 30,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460.60 : 83,223.84 = 20,424.84 : x
  2. Step 2: Convert to fraction form
    55,460.60/83,223.84 = 20,424.84/x
  3. Step 3: Cross multiply
    55,460.60x = 83,223.84 × 20,424.84
  4. Step 4: Simplify right side
    55,460.60x = 1,699,833,616.19
  5. Step 5: Solve for x
    x = 1,699,833,616.19/55,460.60
  6. Step 6: Final answer
    x = 30,649.39

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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.