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Finding the Fourth Proportional to 85,438.39, 117,904.88 and 47,712.67

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Solution

The fourth proportional to 85,438.39, 117,904.88 and 47,712.67 is: 65,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,438.39 : 117,904.88 = 47,712.67 : x
  2. Step 2: Convert to fraction form
    85,438.39/117,904.88 = 47,712.67/x
  3. Step 3: Cross multiply
    85,438.39x = 117,904.88 × 47,712.67
  4. Step 4: Simplify right side
    85,438.39x = 5,625,556,041.31
  5. Step 5: Solve for x
    x = 5,625,556,041.31/85,438.39
  6. Step 6: Final answer
    x = 65,843.43

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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.