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Finding the Fourth Proportional to 46,675.30, 70,013.20 and 11,614.96

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Solution

The fourth proportional to 46,675.30, 70,013.20 and 11,614.96 is: 17,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,675.30 : 70,013.20 = 11,614.96 : x
  2. Step 2: Convert to fraction form
    46,675.30/70,013.20 = 11,614.96/x
  3. Step 3: Cross multiply
    46,675.30x = 70,013.20 × 11,614.96
  4. Step 4: Simplify right side
    46,675.30x = 813,200,517.47
  5. Step 5: Solve for x
    x = 813,200,517.47/46,675.30
  6. Step 6: Final answer
    x = 17,422.50

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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.