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Finding the Fourth Proportional to 53,089.84, 73,262.38 and 29,216.48

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Solution

The fourth proportional to 53,089.84, 73,262.38 and 29,216.48 is: 40,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,089.84 : 73,262.38 = 29,216.48 : x
  2. Step 2: Convert to fraction form
    53,089.84/73,262.38 = 29,216.48/x
  3. Step 3: Cross multiply
    53,089.84x = 73,262.38 × 29,216.48
  4. Step 4: Simplify right side
    53,089.84x = 2,140,468,860.02
  5. Step 5: Solve for x
    x = 2,140,468,860.02/53,089.84
  6. Step 6: Final answer
    x = 40,317.86

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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.