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Finding the Fourth Proportional to 38,741.71, 53,465.31 and 30,343.63

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Solution

The fourth proportional to 38,741.71, 53,465.31 and 30,343.63 is: 41,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741.71 : 53,465.31 = 30,343.63 : x
  2. Step 2: Convert to fraction form
    38,741.71/53,465.31 = 30,343.63/x
  3. Step 3: Cross multiply
    38,741.71x = 53,465.31 × 30,343.63
  4. Step 4: Simplify right side
    38,741.71x = 1,622,331,584.48
  5. Step 5: Solve for x
    x = 1,622,331,584.48/38,741.71
  6. Step 6: Final answer
    x = 41,875.58

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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.