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Finding the Fourth Proportional to 75,712.50, 104,485.41 and 42,180.66

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Solution

The fourth proportional to 75,712.50, 104,485.41 and 42,180.66 is: 58,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.50 : 104,485.41 = 42,180.66 : x
  2. Step 2: Convert to fraction form
    75,712.50/104,485.41 = 42,180.66/x
  3. Step 3: Cross multiply
    75,712.50x = 104,485.41 × 42,180.66
  4. Step 4: Simplify right side
    75,712.50x = 4,407,263,554.17
  5. Step 5: Solve for x
    x = 4,407,263,554.17/75,712.50
  6. Step 6: Final answer
    x = 58,210.51

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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.