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Finding the Fourth Proportional to 34,338.60, 47,362.77 and 31,515.12

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Solution

The fourth proportional to 34,338.60, 47,362.77 and 31,515.12 is: 43,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.60 : 47,362.77 = 31,515.12 : x
  2. Step 2: Convert to fraction form
    34,338.60/47,362.77 = 31,515.12/x
  3. Step 3: Cross multiply
    34,338.60x = 47,362.77 × 31,515.12
  4. Step 4: Simplify right side
    34,338.60x = 1,492,643,380.08
  5. Step 5: Solve for x
    x = 1,492,643,380.08/34,338.60
  6. Step 6: Final answer
    x = 43,468.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.