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Finding the Fourth Proportional to 72,577, 108,787.74 and 30,446.47

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Solution

The fourth proportional to 72,577, 108,787.74 and 30,446.47 is: 45,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,577 : 108,787.74 = 30,446.47 : x
  2. Step 2: Convert to fraction form
    72,577/108,787.74 = 30,446.47/x
  3. Step 3: Cross multiply
    72,577x = 108,787.74 × 30,446.47
  4. Step 4: Simplify right side
    72,577x = 3,312,202,662.28
  5. Step 5: Solve for x
    x = 3,312,202,662.28/72,577
  6. Step 6: Final answer
    x = 45,637.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.