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Finding the Fourth Proportional to 53,788, 74,229.26 and 29,589.98

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Solution

The fourth proportional to 53,788, 74,229.26 and 29,589.98 is: 40,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788 : 74,229.26 = 29,589.98 : x
  2. Step 2: Convert to fraction form
    53,788/74,229.26 = 29,589.98/x
  3. Step 3: Cross multiply
    53,788x = 74,229.26 × 29,589.98
  4. Step 4: Simplify right side
    53,788x = 2,196,442,318.81
  5. Step 5: Solve for x
    x = 2,196,442,318.81/53,788
  6. Step 6: Final answer
    x = 40,835.17

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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.