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Finding the Fourth Proportional to 32,426.60, 48,639.90 and 11,647.40

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Solution

The fourth proportional to 32,426.60, 48,639.90 and 11,647.40 is: 17,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.60 : 48,639.90 = 11,647.40 : x
  2. Step 2: Convert to fraction form
    32,426.60/48,639.90 = 11,647.40/x
  3. Step 3: Cross multiply
    32,426.60x = 48,639.90 × 11,647.40
  4. Step 4: Simplify right side
    32,426.60x = 566,528,371.26
  5. Step 5: Solve for x
    x = 566,528,371.26/32,426.60
  6. Step 6: Final answer
    x = 17,471.10

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Why These Related Problems?

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