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Finding the Fourth Proportional to 55,093.02, 76,028.70 and 32,433

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Solution

The fourth proportional to 55,093.02, 76,028.70 and 32,433 is: 44,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,093.02 : 76,028.70 = 32,433 : x
  2. Step 2: Convert to fraction form
    55,093.02/76,028.70 = 32,433/x
  3. Step 3: Cross multiply
    55,093.02x = 76,028.70 × 32,433
  4. Step 4: Simplify right side
    55,093.02x = 2,465,838,827.10
  5. Step 5: Solve for x
    x = 2,465,838,827.10/55,093.02
  6. Step 6: Final answer
    x = 44,757.74

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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.