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Finding the Fourth Proportional to 84,284.46, 116,310.33 and 46,557.90

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Solution

The fourth proportional to 84,284.46, 116,310.33 and 46,557.90 is: 64,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,284.46 : 116,310.33 = 46,557.90 : x
  2. Step 2: Convert to fraction form
    84,284.46/116,310.33 = 46,557.90/x
  3. Step 3: Cross multiply
    84,284.46x = 116,310.33 × 46,557.90
  4. Step 4: Simplify right side
    84,284.46x = 5,415,164,713.11
  5. Step 5: Solve for x
    x = 5,415,164,713.11/84,284.46
  6. Step 6: Final answer
    x = 64,248.67

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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.