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Finding the Fourth Proportional to 55,276.47, 76,281.82 and 31,404.51

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Solution

The fourth proportional to 55,276.47, 76,281.82 and 31,404.51 is: 43,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,276.47 : 76,281.82 = 31,404.51 : x
  2. Step 2: Convert to fraction form
    55,276.47/76,281.82 = 31,404.51/x
  3. Step 3: Cross multiply
    55,276.47x = 76,281.82 × 31,404.51
  4. Step 4: Simplify right side
    55,276.47x = 2,395,593,100.50
  5. Step 5: Solve for x
    x = 2,395,593,100.50/55,276.47
  6. Step 6: Final answer
    x = 43,338.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.