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Finding the Fourth Proportional to 30,117.42, 45,178.74 and 7,930.62

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Solution

The fourth proportional to 30,117.42, 45,178.74 and 7,930.62 is: 11,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.42 : 45,178.74 = 7,930.62 : x
  2. Step 2: Convert to fraction form
    30,117.42/45,178.74 = 7,930.62/x
  3. Step 3: Cross multiply
    30,117.42x = 45,178.74 × 7,930.62
  4. Step 4: Simplify right side
    30,117.42x = 358,295,419.02
  5. Step 5: Solve for x
    x = 358,295,419.02/30,117.42
  6. Step 6: Final answer
    x = 11,896.62

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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.