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Finding the Fourth Proportional to 81,822.55, 112,913.16 and 53,527.63

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Solution

The fourth proportional to 81,822.55, 112,913.16 and 53,527.63 is: 73,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,822.55 : 112,913.16 = 53,527.63 : x
  2. Step 2: Convert to fraction form
    81,822.55/112,913.16 = 53,527.63/x
  3. Step 3: Cross multiply
    81,822.55x = 112,913.16 × 53,527.63
  4. Step 4: Simplify right side
    81,822.55x = 6,043,973,850.61
  5. Step 5: Solve for x
    x = 6,043,973,850.61/81,822.55
  6. Step 6: Final answer
    x = 73,866.85

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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.