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Finding the Fourth Proportional to 46,712.16, 64,471.14 and 27,850.50

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Solution

The fourth proportional to 46,712.16, 64,471.14 and 27,850.50 is: 38,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712.16 : 64,471.14 = 27,850.50 : x
  2. Step 2: Convert to fraction form
    46,712.16/64,471.14 = 27,850.50/x
  3. Step 3: Cross multiply
    46,712.16x = 64,471.14 × 27,850.50
  4. Step 4: Simplify right side
    46,712.16x = 1,795,553,484.57
  5. Step 5: Solve for x
    x = 1,795,553,484.57/46,712.16
  6. Step 6: Final answer
    x = 38,438.67

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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.