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Finding the Fourth Proportional to 75,102.40, 112,653.28 and 30,749.76

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Solution

The fourth proportional to 75,102.40, 112,653.28 and 30,749.76 is: 46,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.40 : 112,653.28 = 30,749.76 : x
  2. Step 2: Convert to fraction form
    75,102.40/112,653.28 = 30,749.76/x
  3. Step 3: Cross multiply
    75,102.40x = 112,653.28 × 30,749.76
  4. Step 4: Simplify right side
    75,102.40x = 3,464,061,323.21
  5. Step 5: Solve for x
    x = 3,464,061,323.21/75,102.40
  6. Step 6: Final answer
    x = 46,124.51

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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.