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Finding the Fourth Proportional to 52,338.30, 72,245.40 and 31,117.46

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Solution

The fourth proportional to 52,338.30, 72,245.40 and 31,117.46 is: 42,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338.30 : 72,245.40 = 31,117.46 : x
  2. Step 2: Convert to fraction form
    52,338.30/72,245.40 = 31,117.46/x
  3. Step 3: Cross multiply
    52,338.30x = 72,245.40 × 31,117.46
  4. Step 4: Simplify right side
    52,338.30x = 2,248,093,344.68
  5. Step 5: Solve for x
    x = 2,248,093,344.68/52,338.30
  6. Step 6: Final answer
    x = 42,953.12

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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.