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Finding the Fourth Proportional to 83,137.20, 114,730.02 and 47,329.53

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Solution

The fourth proportional to 83,137.20, 114,730.02 and 47,329.53 is: 65,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.20 : 114,730.02 = 47,329.53 : x
  2. Step 2: Convert to fraction form
    83,137.20/114,730.02 = 47,329.53/x
  3. Step 3: Cross multiply
    83,137.20x = 114,730.02 × 47,329.53
  4. Step 4: Simplify right side
    83,137.20x = 5,430,117,923.49
  5. Step 5: Solve for x
    x = 5,430,117,923.49/83,137.20
  6. Step 6: Final answer
    x = 65,315.14

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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.