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Finding the Fourth Proportional to 32,454.89, 48,688.92 and 13,734.98

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Solution

The fourth proportional to 32,454.89, 48,688.92 and 13,734.98 is: 20,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.89 : 48,688.92 = 13,734.98 : x
  2. Step 2: Convert to fraction form
    32,454.89/48,688.92 = 13,734.98/x
  3. Step 3: Cross multiply
    32,454.89x = 48,688.92 × 13,734.98
  4. Step 4: Simplify right side
    32,454.89x = 668,741,342.42
  5. Step 5: Solve for x
    x = 668,741,342.42/32,454.89
  6. Step 6: Final answer
    x = 20,605.26

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1.5x scale

Why These Related Problems?

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