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Finding the Fourth Proportional to 32,662.54, 48,998.10 and 10,468.54

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Solution

The fourth proportional to 32,662.54, 48,998.10 and 10,468.54 is: 15,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,662.54 : 48,998.10 = 10,468.54 : x
  2. Step 2: Convert to fraction form
    32,662.54/48,998.10 = 10,468.54/x
  3. Step 3: Cross multiply
    32,662.54x = 48,998.10 × 10,468.54
  4. Step 4: Simplify right side
    32,662.54x = 512,938,569.77
  5. Step 5: Solve for x
    x = 512,938,569.77/32,662.54
  6. Step 6: Final answer
    x = 15,704.18

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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.