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Finding the Fourth Proportional to 75,032.49, 112,548.73 and 30,659.20

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Solution

The fourth proportional to 75,032.49, 112,548.73 and 30,659.20 is: 45,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032.49 : 112,548.73 = 30,659.20 : x
  2. Step 2: Convert to fraction form
    75,032.49/112,548.73 = 30,659.20/x
  3. Step 3: Cross multiply
    75,032.49x = 112,548.73 × 30,659.20
  4. Step 4: Simplify right side
    75,032.49x = 3,450,654,022.82
  5. Step 5: Solve for x
    x = 3,450,654,022.82/75,032.49
  6. Step 6: Final answer
    x = 45,988.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.