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Finding the Fourth Proportional to 32,005.32, 44,167.20 and 17,858.16

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Solution

The fourth proportional to 32,005.32, 44,167.20 and 17,858.16 is: 24,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.32 : 44,167.20 = 17,858.16 : x
  2. Step 2: Convert to fraction form
    32,005.32/44,167.20 = 17,858.16/x
  3. Step 3: Cross multiply
    32,005.32x = 44,167.20 × 17,858.16
  4. Step 4: Simplify right side
    32,005.32x = 788,744,924.35
  5. Step 5: Solve for x
    x = 788,744,924.35/32,005.32
  6. Step 6: Final answer
    x = 24,644.18

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