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Finding the Fourth Proportional to 51,980.27, 71,726.74 and 29,319.63

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Solution

The fourth proportional to 51,980.27, 71,726.74 and 29,319.63 is: 40,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.27 : 71,726.74 = 29,319.63 : x
  2. Step 2: Convert to fraction form
    51,980.27/71,726.74 = 29,319.63/x
  3. Step 3: Cross multiply
    51,980.27x = 71,726.74 × 29,319.63
  4. Step 4: Simplify right side
    51,980.27x = 2,103,001,419.82
  5. Step 5: Solve for x
    x = 2,103,001,419.82/51,980.27
  6. Step 6: Final answer
    x = 40,457.69

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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.