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Finding the Fourth Proportional to 51,707.09, 71,363.48 and 31,575.63

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Solution

The fourth proportional to 51,707.09, 71,363.48 and 31,575.63 is: 43,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,707.09 : 71,363.48 = 31,575.63 : x
  2. Step 2: Convert to fraction form
    51,707.09/71,363.48 = 31,575.63/x
  3. Step 3: Cross multiply
    51,707.09x = 71,363.48 × 31,575.63
  4. Step 4: Simplify right side
    51,707.09x = 2,253,346,682.11
  5. Step 5: Solve for x
    x = 2,253,346,682.11/51,707.09
  6. Step 6: Final answer
    x = 43,579.07

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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.