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Finding the Fourth Proportional to 32,852, 45,337.38 and 18,706.16

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Solution

The fourth proportional to 32,852, 45,337.38 and 18,706.16 is: 25,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852 : 45,337.38 = 18,706.16 : x
  2. Step 2: Convert to fraction form
    32,852/45,337.38 = 18,706.16/x
  3. Step 3: Cross multiply
    32,852x = 45,337.38 × 18,706.16
  4. Step 4: Simplify right side
    32,852x = 848,088,284.26
  5. Step 5: Solve for x
    x = 848,088,284.26/32,852
  6. Step 6: Final answer
    x = 25,815.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.