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Finding the Fourth Proportional to 105,407.57, 145,461.26 and 57,660.34

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Solution

The fourth proportional to 105,407.57, 145,461.26 and 57,660.34 is: 79,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.57 : 145,461.26 = 57,660.34 : x
  2. Step 2: Convert to fraction form
    105,407.57/145,461.26 = 57,660.34/x
  3. Step 3: Cross multiply
    105,407.57x = 145,461.26 × 57,660.34
  4. Step 4: Simplify right side
    105,407.57x = 8,387,345,708.43
  5. Step 5: Solve for x
    x = 8,387,345,708.43/105,407.57
  6. Step 6: Final answer
    x = 79,570.62

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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.