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Finding the Fourth Proportional to 32,005.53, 44,167.68 and 17,858.07

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Solution

The fourth proportional to 32,005.53, 44,167.68 and 17,858.07 is: 24,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.53 : 44,167.68 = 17,858.07 : x
  2. Step 2: Convert to fraction form
    32,005.53/44,167.68 = 17,858.07/x
  3. Step 3: Cross multiply
    32,005.53x = 44,167.68 × 17,858.07
  4. Step 4: Simplify right side
    32,005.53x = 788,749,521.18
  5. Step 5: Solve for x
    x = 788,749,521.18/32,005.53
  6. Step 6: Final answer
    x = 24,644.16

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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.