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Finding the Fourth Proportional to 30,972.70, 46,460.81 and 8,784.32

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Solution

The fourth proportional to 30,972.70, 46,460.81 and 8,784.32 is: 13,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.70 : 46,460.81 = 8,784.32 : x
  2. Step 2: Convert to fraction form
    30,972.70/46,460.81 = 8,784.32/x
  3. Step 3: Cross multiply
    30,972.70x = 46,460.81 × 8,784.32
  4. Step 4: Simplify right side
    30,972.70x = 408,126,622.50
  5. Step 5: Solve for x
    x = 408,126,622.50/30,972.70
  6. Step 6: Final answer
    x = 13,176.98

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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.