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Finding the Fourth Proportional to 32,011.40, 48,017.10 and 16,419.08

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Solution

The fourth proportional to 32,011.40, 48,017.10 and 16,419.08 is: 24,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.40 : 48,017.10 = 16,419.08 : x
  2. Step 2: Convert to fraction form
    32,011.40/48,017.10 = 16,419.08/x
  3. Step 3: Cross multiply
    32,011.40x = 48,017.10 × 16,419.08
  4. Step 4: Simplify right side
    32,011.40x = 788,396,606.27
  5. Step 5: Solve for x
    x = 788,396,606.27/32,011.40
  6. Step 6: Final answer
    x = 24,628.62

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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.