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Finding the Fourth Proportional to 32,001.80, 47,964.30 and 16,411.40

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Solution

The fourth proportional to 32,001.80, 47,964.30 and 16,411.40 is: 24,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.80 : 47,964.30 = 16,411.40 : x
  2. Step 2: Convert to fraction form
    32,001.80/47,964.30 = 16,411.40/x
  3. Step 3: Cross multiply
    32,001.80x = 47,964.30 × 16,411.40
  4. Step 4: Simplify right side
    32,001.80x = 787,161,313.02
  5. Step 5: Solve for x
    x = 787,161,313.02/32,001.80
  6. Step 6: Final answer
    x = 24,597.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.