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Finding the Fourth Proportional to 90,638.17, 135,957.30 and 34,465.31

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Solution

The fourth proportional to 90,638.17, 135,957.30 and 34,465.31 is: 51,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,638.17 : 135,957.30 = 34,465.31 : x
  2. Step 2: Convert to fraction form
    90,638.17/135,957.30 = 34,465.31/x
  3. Step 3: Cross multiply
    90,638.17x = 135,957.30 × 34,465.31
  4. Step 4: Simplify right side
    90,638.17x = 4,685,810,385.94
  5. Step 5: Solve for x
    x = 4,685,810,385.94/90,638.17
  6. Step 6: Final answer
    x = 51,697.98

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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.