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Finding the Fourth Proportional to 30,675.43, 46,013.72 and 9,615.01

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Solution

The fourth proportional to 30,675.43, 46,013.72 and 9,615.01 is: 14,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.43 : 46,013.72 = 9,615.01 : x
  2. Step 2: Convert to fraction form
    30,675.43/46,013.72 = 9,615.01/x
  3. Step 3: Cross multiply
    30,675.43x = 46,013.72 × 9,615.01
  4. Step 4: Simplify right side
    30,675.43x = 442,422,377.94
  5. Step 5: Solve for x
    x = 442,422,377.94/30,675.43
  6. Step 6: Final answer
    x = 14,422.70

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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.