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Finding the Fourth Proportional to 96,283.63, 132,871.42 and 53,842.26

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Solution

The fourth proportional to 96,283.63, 132,871.42 and 53,842.26 is: 74,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,283.63 : 132,871.42 = 53,842.26 : x
  2. Step 2: Convert to fraction form
    96,283.63/132,871.42 = 53,842.26/x
  3. Step 3: Cross multiply
    96,283.63x = 132,871.42 × 53,842.26
  4. Step 4: Simplify right side
    96,283.63x = 7,154,097,542.21
  5. Step 5: Solve for x
    x = 7,154,097,542.21/96,283.63
  6. Step 6: Final answer
    x = 74,302.32

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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.