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Finding the Fourth Proportional to 52,063.40, 71,828.16 and 34,168.34

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Solution

The fourth proportional to 52,063.40, 71,828.16 and 34,168.34 is: 47,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,063.40 : 71,828.16 = 34,168.34 : x
  2. Step 2: Convert to fraction form
    52,063.40/71,828.16 = 34,168.34/x
  3. Step 3: Cross multiply
    52,063.40x = 71,828.16 × 34,168.34
  4. Step 4: Simplify right side
    52,063.40x = 2,454,248,992.45
  5. Step 5: Solve for x
    x = 2,454,248,992.45/52,063.40
  6. Step 6: Final answer
    x = 47,139.62

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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.