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Finding the Fourth Proportional to 32,992.14, 49,482.94 and 9,613.12

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Solution

The fourth proportional to 32,992.14, 49,482.94 and 9,613.12 is: 14,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.14 : 49,482.94 = 9,613.12 : x
  2. Step 2: Convert to fraction form
    32,992.14/49,482.94 = 9,613.12/x
  3. Step 3: Cross multiply
    32,992.14x = 49,482.94 × 9,613.12
  4. Step 4: Simplify right side
    32,992.14x = 475,685,440.17
  5. Step 5: Solve for x
    x = 475,685,440.17/32,992.14
  6. Step 6: Final answer
    x = 14,418.14

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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.