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Finding the Fourth Proportional to 75,749.76, 104,538.24 and 42,216

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Solution

The fourth proportional to 75,749.76, 104,538.24 and 42,216 is: 58,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,749.76 : 104,538.24 = 42,216 : x
  2. Step 2: Convert to fraction form
    75,749.76/104,538.24 = 42,216/x
  3. Step 3: Cross multiply
    75,749.76x = 104,538.24 × 42,216
  4. Step 4: Simplify right side
    75,749.76x = 4,413,186,339.84
  5. Step 5: Solve for x
    x = 4,413,186,339.84/75,749.76
  6. Step 6: Final answer
    x = 58,260.07

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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.