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Finding the Fourth Proportional to 32,000.32, 44,160.96 and 17,853.40

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Solution

The fourth proportional to 32,000.32, 44,160.96 and 17,853.40 is: 24,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.32 : 44,160.96 = 17,853.40 : x
  2. Step 2: Convert to fraction form
    32,000.32/44,160.96 = 17,853.40/x
  3. Step 3: Cross multiply
    32,000.32x = 44,160.96 × 17,853.40
  4. Step 4: Simplify right side
    32,000.32x = 788,423,283.26
  5. Step 5: Solve for x
    x = 788,423,283.26/32,000.32
  6. Step 6: Final answer
    x = 24,637.98

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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.