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Finding the Fourth Proportional to 32,186, 48,276.84 and 8,812.64

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Solution

The fourth proportional to 32,186, 48,276.84 and 8,812.64 is: 13,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 48,276.84 = 8,812.64 : x
  2. Step 2: Convert to fraction form
    32,186/48,276.84 = 8,812.64/x
  3. Step 3: Cross multiply
    32,186x = 48,276.84 × 8,812.64
  4. Step 4: Simplify right side
    32,186x = 425,446,411.26
  5. Step 5: Solve for x
    x = 425,446,411.26/32,186
  6. Step 6: Final answer
    x = 13,218.37

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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.