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Finding the Fourth Proportional to 32,003.87, 48,004 and 9,817.18

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Solution

The fourth proportional to 32,003.87, 48,004 and 9,817.18 is: 14,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.87 : 48,004 = 9,817.18 : x
  2. Step 2: Convert to fraction form
    32,003.87/48,004 = 9,817.18/x
  3. Step 3: Cross multiply
    32,003.87x = 48,004 × 9,817.18
  4. Step 4: Simplify right side
    32,003.87x = 471,263,908.72
  5. Step 5: Solve for x
    x = 471,263,908.72/32,003.87
  6. Step 6: Final answer
    x = 14,725.22

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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.