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Finding the Fourth Proportional to 32,992.14, 49,478.54 and 9,298.12

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Solution

The fourth proportional to 32,992.14, 49,478.54 and 9,298.12 is: 13,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.14 : 49,478.54 = 9,298.12 : x
  2. Step 2: Convert to fraction form
    32,992.14/49,478.54 = 9,298.12/x
  3. Step 3: Cross multiply
    32,992.14x = 49,478.54 × 9,298.12
  4. Step 4: Simplify right side
    32,992.14x = 460,057,402.34
  5. Step 5: Solve for x
    x = 460,057,402.34/32,992.14
  6. Step 6: Final answer
    x = 13,944.45

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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.