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Finding the Fourth Proportional to 32,000.64, 44,160.75 and 17,853.50

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Solution

The fourth proportional to 32,000.64, 44,160.75 and 17,853.50 is: 24,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.64 : 44,160.75 = 17,853.50 : x
  2. Step 2: Convert to fraction form
    32,000.64/44,160.75 = 17,853.50/x
  3. Step 3: Cross multiply
    32,000.64x = 44,160.75 × 17,853.50
  4. Step 4: Simplify right side
    32,000.64x = 788,423,729.32
  5. Step 5: Solve for x
    x = 788,423,729.32/32,000.64
  6. Step 6: Final answer
    x = 24,637.75

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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.