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Finding the Fourth Proportional to 30,670.74, 46,006.06 and 9,612.40

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Solution

The fourth proportional to 30,670.74, 46,006.06 and 9,612.40 is: 14,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.74 : 46,006.06 = 9,612.40 : x
  2. Step 2: Convert to fraction form
    30,670.74/46,006.06 = 9,612.40/x
  3. Step 3: Cross multiply
    30,670.74x = 46,006.06 × 9,612.40
  4. Step 4: Simplify right side
    30,670.74x = 442,228,651.14
  5. Step 5: Solve for x
    x = 442,228,651.14/30,670.74
  6. Step 6: Final answer
    x = 14,418.58

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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.