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Finding the Fourth Proportional to 105,386.64, 145,434.72 and 57,638.97

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Solution

The fourth proportional to 105,386.64, 145,434.72 and 57,638.97 is: 79,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,386.64 : 145,434.72 = 57,638.97 : x
  2. Step 2: Convert to fraction form
    105,386.64/145,434.72 = 57,638.97/x
  3. Step 3: Cross multiply
    105,386.64x = 145,434.72 × 57,638.97
  4. Step 4: Simplify right side
    105,386.64x = 8,382,707,463.04
  5. Step 5: Solve for x
    x = 8,382,707,463.04/105,386.64
  6. Step 6: Final answer
    x = 79,542.41

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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.