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Finding the Fourth Proportional to 75,260.77, 112,724.60 and 30,752.48

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Solution

The fourth proportional to 75,260.77, 112,724.60 and 30,752.48 is: 46,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260.77 : 112,724.60 = 30,752.48 : x
  2. Step 2: Convert to fraction form
    75,260.77/112,724.60 = 30,752.48/x
  3. Step 3: Cross multiply
    75,260.77x = 112,724.60 × 30,752.48
  4. Step 4: Simplify right side
    75,260.77x = 3,466,561,135.06
  5. Step 5: Solve for x
    x = 3,466,561,135.06/75,260.77
  6. Step 6: Final answer
    x = 46,060.67

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Why These Related Problems?

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