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Finding the Fourth Proportional to 51,952.72, 71,693.32 and 29,291.51

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Solution

The fourth proportional to 51,952.72, 71,693.32 and 29,291.51 is: 40,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.72 : 71,693.32 = 29,291.51 : x
  2. Step 2: Convert to fraction form
    51,952.72/71,693.32 = 29,291.51/x
  3. Step 3: Cross multiply
    51,952.72x = 71,693.32 × 29,291.51
  4. Step 4: Simplify right side
    51,952.72x = 2,100,005,705.72
  5. Step 5: Solve for x
    x = 2,100,005,705.72/51,952.72
  6. Step 6: Final answer
    x = 40,421.48

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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.