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Finding the Fourth Proportional to 105,536.48, 145,634.92 and 57,780.59

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Solution

The fourth proportional to 105,536.48, 145,634.92 and 57,780.59 is: 79,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,536.48 : 145,634.92 = 57,780.59 : x
  2. Step 2: Convert to fraction form
    105,536.48/145,634.92 = 57,780.59/x
  3. Step 3: Cross multiply
    105,536.48x = 145,634.92 × 57,780.59
  4. Step 4: Simplify right side
    105,536.48x = 8,414,871,821.84
  5. Step 5: Solve for x
    x = 8,414,871,821.84/105,536.48
  6. Step 6: Final answer
    x = 79,734.25

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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.