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Finding the Fourth Proportional to 30,679.32, 46,013.04 and 9,616.20

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Solution

The fourth proportional to 30,679.32, 46,013.04 and 9,616.20 is: 14,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.32 : 46,013.04 = 9,616.20 : x
  2. Step 2: Convert to fraction form
    30,679.32/46,013.04 = 9,616.20/x
  3. Step 3: Cross multiply
    30,679.32x = 46,013.04 × 9,616.20
  4. Step 4: Simplify right side
    30,679.32x = 442,470,595.25
  5. Step 5: Solve for x
    x = 442,470,595.25/30,679.32
  6. Step 6: Final answer
    x = 14,422.44

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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.