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Finding the Fourth Proportional to 53,699.49, 74,103.24 and 29,827.69

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Solution

The fourth proportional to 53,699.49, 74,103.24 and 29,827.69 is: 41,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,699.49 : 74,103.24 = 29,827.69 : x
  2. Step 2: Convert to fraction form
    53,699.49/74,103.24 = 29,827.69/x
  3. Step 3: Cross multiply
    53,699.49x = 74,103.24 × 29,827.69
  4. Step 4: Simplify right side
    53,699.49x = 2,210,328,321.58
  5. Step 5: Solve for x
    x = 2,210,328,321.58/53,699.49
  6. Step 6: Final answer
    x = 41,161.07

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