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Finding the Fourth Proportional to 52,438.46, 72,366.82 and 31,214.84

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Solution

The fourth proportional to 52,438.46, 72,366.82 and 31,214.84 is: 43,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.46 : 72,366.82 = 31,214.84 : x
  2. Step 2: Convert to fraction form
    52,438.46/72,366.82 = 31,214.84/x
  3. Step 3: Cross multiply
    52,438.46x = 72,366.82 × 31,214.84
  4. Step 4: Simplify right side
    52,438.46x = 2,258,918,267.74
  5. Step 5: Solve for x
    x = 2,258,918,267.74/52,438.46
  6. Step 6: Final answer
    x = 43,077.51

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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.