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Finding the Fourth Proportional to 46,685.20, 70,017.12 and 13,405

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Solution

The fourth proportional to 46,685.20, 70,017.12 and 13,405 is: 20,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,685.20 : 70,017.12 = 13,405 : x
  2. Step 2: Convert to fraction form
    46,685.20/70,017.12 = 13,405/x
  3. Step 3: Cross multiply
    46,685.20x = 70,017.12 × 13,405
  4. Step 4: Simplify right side
    46,685.20x = 938,579,493.60
  5. Step 5: Solve for x
    x = 938,579,493.60/46,685.20
  6. Step 6: Final answer
    x = 20,104.43

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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.