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Finding the Fourth Proportional to 75,954.00, 113,856.95 and 30,348.11

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Solution

The fourth proportional to 75,954.00, 113,856.95 and 30,348.11 is: 45,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.00 : 113,856.95 = 30,348.11 : x
  2. Step 2: Convert to fraction form
    75,954.00/113,856.95 = 30,348.11/x
  3. Step 3: Cross multiply
    75,954.00x = 113,856.95 × 30,348.11
  4. Step 4: Simplify right side
    75,954.00x = 3,455,342,920.29
  5. Step 5: Solve for x
    x = 3,455,342,920.29/75,954.00
  6. Step 6: Final answer
    x = 45,492.57

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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.