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Finding the Fourth Proportional to 53,767.09, 74,191.55 and 29,889

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Solution

The fourth proportional to 53,767.09, 74,191.55 and 29,889 is: 41,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,767.09 : 74,191.55 = 29,889 : x
  2. Step 2: Convert to fraction form
    53,767.09/74,191.55 = 29,889/x
  3. Step 3: Cross multiply
    53,767.09x = 74,191.55 × 29,889
  4. Step 4: Simplify right side
    53,767.09x = 2,217,511,088.51
  5. Step 5: Solve for x
    x = 2,217,511,088.51/53,767.09
  6. Step 6: Final answer
    x = 41,242.91

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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.