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Finding the Fourth Proportional to 46,947.67, 70,419.67 and 18,859.30

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Solution

The fourth proportional to 46,947.67, 70,419.67 and 18,859.30 is: 28,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,947.67 : 70,419.67 = 18,859.30 : x
  2. Step 2: Convert to fraction form
    46,947.67/70,419.67 = 18,859.30/x
  3. Step 3: Cross multiply
    46,947.67x = 70,419.67 × 18,859.30
  4. Step 4: Simplify right side
    46,947.67x = 1,328,065,682.43
  5. Step 5: Solve for x
    x = 1,328,065,682.43/46,947.67
  6. Step 6: Final answer
    x = 28,288.21

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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.